Which of the following is a factor of 320?
6
8
12
16
Factors are the numbers that divide another number exactly without leaving a remainder. Understanding factors is crucial in various mathematical applications, including simplifying fractions, finding greatest common divisors, and solving problems involving multiples and divisibility. In this guide, we will explore the factors of numbers from 301 to 400. This range includes both prime and composite numbers, and examining their factors will help you understand how numbers can be broken down into their component parts. This knowledge is essential for advancing in topics such as prime factorization, least common multiples, and algebraic expressions. Let’s delve into the factors of each number from 301 to 400.
Download Factors of 301 to 400 in PDF
Download Factors of 301 to 400 in PDF
Numbers | Factors | Prime Factors Form | Prime/Composite |
---|---|---|---|
301 | 1, 7, 43, 301 | 7 × 43 | Composite |
302 | 1, 2, 151, 302 | 2 × 151 | Composite |
303 | 1, 3, 101, 303 | 3 × 101 | Composite |
304 | 1, 2, 4, 8, 38, 76, 152, 304 | 2⁴ × 19 | Composite |
305 | 1, 5, 61, 305 | 5 × 61 | Composite |
306 | 1, 2, 3, 6, 17, 18, 34, 51, 102, 153, 306 | 2 × 3² × 17 | Composite |
307 | 1, 307 | 307 | Prime |
308 | 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308 | 2² × 7 × 11 | Composite |
309 | 1, 3, 103, 309 | 3 × 103 | Composite |
310 | 1, 2, 5, 10, 31, 62, 155, 310 | 2 × 5 × 31 | Composite |
311 | 1, 311 | 311 | Prime |
312 | 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312 | 2³ × 3 × 13 | Composite |
313 | 1, 313 | 313 | Prime |
314 | 1, 2, 157, 314 | 2 × 157 | Composite |
315 | 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 | 3² × 5 × 7 | Composite |
316 | 1, 2, 4, 79, 158, 316 | 2² × 79 | Composite |
317 | 1, 317 | 317 | Prime |
318 | 1, 2, 3, 6, 53, 106, 159, 318 | 2 × 3 × 53 | Composite |
319 | 1, 11, 29, 319 | 11 × 29 | Composite |
320 | 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320 | 2⁶ × 5 | Composite |
321 | 1, 3, 107, 321 | 3 × 107 | Composite |
322 | 1, 2, 7, 14, 23, 46, 161, 322 | 2 × 7 × 23 | Composite |
323 | 1, 17, 19, 323 | 17 × 19 | Composite |
324 | 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324 | 2² × 3⁴ | Composite |
325 | 1, 5, 13, 25, 65, 325 | 5² × 13 | Composite |
326 | 1, 2, 163, 326 | 2 × 163 | Composite |
327 | 1, 3, 109, 327 | 3 × 109 | Composite |
328 | 1, 2, 4, 8, 41, 82, 164, 328 | 2³ × 41 | Composite |
329 | 1, 7, 47, 329 | 7 × 47 | Composite |
330 | 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 | 2 × 3 × 5 × 11 | Composite |
331 | 1, 331 | 331 | Prime |
332 | 1, 2, 4, 83, 166, 332 | 2² × 83 | Composite |
333 | 1, 3, 9, 37, 111, 333 | 3² × 37 | Composite |
334 | 1, 2, 167, 334 | 2 × 167 | Composite |
335 | 1, 5, 67, 335 | 5 × 67 | Composite |
336 | 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336 | 2⁴ × 3 × 7 | Composite |
337 | 1, 337 | 337 | Prime |
338 | 1, 2, 13, 26, 169, 338 | 2 × 13² | Composite |
339 | 1, 3, 113, 339 | 3 × 113 | Composite |
340 | 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 | 2² × 5 × 17 | Composite |
341 | 1, 11, 31, 341 | 11 × 31 | Composite |
342 | 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342 | 2 × 3² × 19 | Composite |
343 | 1, 7, 49, 343 | 7³ | Composite |
344 | 1, 2, 4, 8, 43, 86, 172, 344 | 2³ × 43 | Composite |
345 | 1, 3, 5, 15, 23, 69, 115, 345 | 3 × 5 × 23 | Composite |
346 | 1, 2, 173, 346 | 2 × 173 | Composite |
347 | 1, 347 | 347 | Prime |
348 | 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 | 2² × 3 × 29 | Composite |
349 | 1, 349 | 349 | Prime |
350 | 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350 | 2 × 5² × 7 | Composite |
351 | 1, 3, 9, 13, 27, 39, 117, 351 | 3³ × 13 | Composite |
352 | 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352 | 2⁵ × 11 | Composite |
353 | 1, 353 | 353 | Prime |
354 | 1, 2, 3, 6, 59, 118, 177, 354 | 2 × 3 × 59 | Composite |
355 | 1, 5, 71, 355 | 5 × 71 | Composite |
356 | 1, 2, 4, 89, 178, 356 | 2² × 89 | Composite |
357 | 1, 3, 7, 17, 21, 51, 119, 357 | 3 × 7 × 17 | Composite |
358 | 1, 2, 179, 358 | 2 × 179 | Composite |
359 | 1, 359 | 359 | Prime |
360 | 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 | 2³ × 3² × 5 | Composite |
361 | 1, 19, 361 | 19² | Composite |
362 | 1, 2, 181, 362 | 2 × 181 | Composite |
363 | 1, 3, 11, 33, 121, 363 | 3 × 11² | Composite |
364 | 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 | 2² × 7 × 13 | Composite |
365 | 1, 5, 73, 365 | 5 × 73 | Composite |
366 | 1, 2, 3, 6, 61, 122, 183, 366 | 2 × 3 × 61 | Composite |
367 | 1, 367 | 367 | Prime |
368 | 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368 | 2⁴ × 23 | Composite |
369 | 1, 3, 9, 41, 123, 369 | 3² × 41 | Composite |
370 | 1, 2, 5, 10, 37, 74, 185, 370 | 2 × 5 × 37 | Composite |
371 | 1, 7, 53, 371 | 7 × 53 | Composite |
372 | 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372 | 2² × 3 × 31 | Composite |
373 | 1, 373 | 373 | Prime |
374 | 1, 2, 11, 17, 22, 34, 187, 374 | 2 × 11 × 17 | Composite |
375 | 1, 3, 5, 15, 25, 75, 125, 375 | 3 × 5³ | Composite |
376 | 1, 2, 4, 8, 47, 94, 188, 376 | 2³ × 47 | Composite |
377 | 1, 13, 29, 377 | 13 × 29 | Composite |
378 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378 | 2 × 3³ × 7 | Composite |
379 | 1, 379 | 379 | Prime |
380 | 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380 | 2² × 5 × 19 | Composite |
381 | 1, 3, 127, 381 | 3 × 127 | Composite |
382 | 1, 2, 191, 382 | 2 × 191 | Composite |
383 | 1, 383 | 383 | Prime |
384 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384 | 2⁷ × 3 | Composite |
385 | 1, 5, 7, 11, 35, 55, 77, 385 | 5 × 7 × 11 | Composite |
386 | 1, 2, 193, 386 | 2 × 193 | Composite |
387 | 1, 3, 9, 43, 129, 387 | 3² × 43 | Composite |
388 | 1, 2, 4, 97, 194, 388 | 2² × 97 | Composite |
389 | 1, 389 | 389 | Prime |
390 | 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390 | 2 × 3 × 5 × 13 | Composite |
391 | 1, 17, 23, 391 | 17 × 23 | Composite |
392 | 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392 | 2³ × 7² | Composite |
393 | 1, 3, 131, 393 | 3 × 131 | Composite |
394 | 1, 2, 197, 394 | 2 × 197 | Composite |
395 | 1, 5, 79, 395 | 5 × 79 | Composite |
396 | 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396 | 2² × 3² × 11 | Composite |
397 | 1, 397 | 397 | Prime |
398 | 1, 2, 199, 398 | 2 × 199 | Composite |
399 | 1, 3, 7, 19, 21, 57, 133, 399 | 3 × 7 × 19 | Composite |
400 | 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 200, 400 | 2⁴ × 5² | Composite |
The factors of numbers ranging from 301 to 400 are diverse, reflecting the unique compositions of these numbers. Prime numbers in this range, such as 307, 311, and 317, have only two factors: 1 and themselves. Composite numbers like 324 (with factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324) showcase a rich array of divisors. Identifying factors helps in various mathematical applications, such as simplifying fractions, finding greatest common divisors, and solving equations. Overall, understanding the factors within this range enhances comprehension of number properties and their relationships.
Factors are the numbers that divide another number exactly without leaving a remainder. Understanding factors is crucial in various mathematical applications, including simplifying fractions, finding greatest common divisors, and solving problems involving multiples and divisibility. In this guide, we will explore the factors of numbers from 301 to 400. This range includes both prime and composite numbers, and examining their factors will help you understand how numbers can be broken down into their component parts. This knowledge is essential for advancing in topics such as prime factorization, least common multiples, and algebraic expressions. Let’s delve into the factors of each number from 301 to 400.
Download Factors of 301 to 400 in PDF
Download Factors of 301 to 400 in PDF
Numbers | Factors | Prime Factors Form | Prime/Composite |
---|---|---|---|
301 | 1, 7, 43, 301 | 7 × 43 | Composite |
302 | 1, 2, 151, 302 | 2 × 151 | Composite |
303 | 1, 3, 101, 303 | 3 × 101 | Composite |
304 | 1, 2, 4, 8, 38, 76, 152, 304 | 2⁴ × 19 | Composite |
305 | 1, 5, 61, 305 | 5 × 61 | Composite |
306 | 1, 2, 3, 6, 17, 18, 34, 51, 102, 153, 306 | 2 × 3² × 17 | Composite |
307 | 1, 307 | 307 | Prime |
308 | 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308 | 2² × 7 × 11 | Composite |
309 | 1, 3, 103, 309 | 3 × 103 | Composite |
310 | 1, 2, 5, 10, 31, 62, 155, 310 | 2 × 5 × 31 | Composite |
311 | 1, 311 | 311 | Prime |
312 | 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312 | 2³ × 3 × 13 | Composite |
313 | 1, 313 | 313 | Prime |
314 | 1, 2, 157, 314 | 2 × 157 | Composite |
315 | 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 | 3² × 5 × 7 | Composite |
316 | 1, 2, 4, 79, 158, 316 | 2² × 79 | Composite |
317 | 1, 317 | 317 | Prime |
318 | 1, 2, 3, 6, 53, 106, 159, 318 | 2 × 3 × 53 | Composite |
319 | 1, 11, 29, 319 | 11 × 29 | Composite |
320 | 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320 | 2⁶ × 5 | Composite |
321 | 1, 3, 107, 321 | 3 × 107 | Composite |
322 | 1, 2, 7, 14, 23, 46, 161, 322 | 2 × 7 × 23 | Composite |
323 | 1, 17, 19, 323 | 17 × 19 | Composite |
324 | 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324 | 2² × 3⁴ | Composite |
325 | 1, 5, 13, 25, 65, 325 | 5² × 13 | Composite |
326 | 1, 2, 163, 326 | 2 × 163 | Composite |
327 | 1, 3, 109, 327 | 3 × 109 | Composite |
328 | 1, 2, 4, 8, 41, 82, 164, 328 | 2³ × 41 | Composite |
329 | 1, 7, 47, 329 | 7 × 47 | Composite |
330 | 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 | 2 × 3 × 5 × 11 | Composite |
331 | 1, 331 | 331 | Prime |
332 | 1, 2, 4, 83, 166, 332 | 2² × 83 | Composite |
333 | 1, 3, 9, 37, 111, 333 | 3² × 37 | Composite |
334 | 1, 2, 167, 334 | 2 × 167 | Composite |
335 | 1, 5, 67, 335 | 5 × 67 | Composite |
336 | 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336 | 2⁴ × 3 × 7 | Composite |
337 | 1, 337 | 337 | Prime |
338 | 1, 2, 13, 26, 169, 338 | 2 × 13² | Composite |
339 | 1, 3, 113, 339 | 3 × 113 | Composite |
340 | 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 | 2² × 5 × 17 | Composite |
341 | 1, 11, 31, 341 | 11 × 31 | Composite |
342 | 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342 | 2 × 3² × 19 | Composite |
343 | 1, 7, 49, 343 | 7³ | Composite |
344 | 1, 2, 4, 8, 43, 86, 172, 344 | 2³ × 43 | Composite |
345 | 1, 3, 5, 15, 23, 69, 115, 345 | 3 × 5 × 23 | Composite |
346 | 1, 2, 173, 346 | 2 × 173 | Composite |
347 | 1, 347 | 347 | Prime |
348 | 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 | 2² × 3 × 29 | Composite |
349 | 1, 349 | 349 | Prime |
350 | 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350 | 2 × 5² × 7 | Composite |
351 | 1, 3, 9, 13, 27, 39, 117, 351 | 3³ × 13 | Composite |
352 | 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352 | 2⁵ × 11 | Composite |
353 | 1, 353 | 353 | Prime |
354 | 1, 2, 3, 6, 59, 118, 177, 354 | 2 × 3 × 59 | Composite |
355 | 1, 5, 71, 355 | 5 × 71 | Composite |
356 | 1, 2, 4, 89, 178, 356 | 2² × 89 | Composite |
357 | 1, 3, 7, 17, 21, 51, 119, 357 | 3 × 7 × 17 | Composite |
358 | 1, 2, 179, 358 | 2 × 179 | Composite |
359 | 1, 359 | 359 | Prime |
360 | 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 | 2³ × 3² × 5 | Composite |
361 | 1, 19, 361 | 19² | Composite |
362 | 1, 2, 181, 362 | 2 × 181 | Composite |
363 | 1, 3, 11, 33, 121, 363 | 3 × 11² | Composite |
364 | 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 | 2² × 7 × 13 | Composite |
365 | 1, 5, 73, 365 | 5 × 73 | Composite |
366 | 1, 2, 3, 6, 61, 122, 183, 366 | 2 × 3 × 61 | Composite |
367 | 1, 367 | 367 | Prime |
368 | 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368 | 2⁴ × 23 | Composite |
369 | 1, 3, 9, 41, 123, 369 | 3² × 41 | Composite |
370 | 1, 2, 5, 10, 37, 74, 185, 370 | 2 × 5 × 37 | Composite |
371 | 1, 7, 53, 371 | 7 × 53 | Composite |
372 | 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372 | 2² × 3 × 31 | Composite |
373 | 1, 373 | 373 | Prime |
374 | 1, 2, 11, 17, 22, 34, 187, 374 | 2 × 11 × 17 | Composite |
375 | 1, 3, 5, 15, 25, 75, 125, 375 | 3 × 5³ | Composite |
376 | 1, 2, 4, 8, 47, 94, 188, 376 | 2³ × 47 | Composite |
377 | 1, 13, 29, 377 | 13 × 29 | Composite |
378 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378 | 2 × 3³ × 7 | Composite |
379 | 1, 379 | 379 | Prime |
380 | 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380 | 2² × 5 × 19 | Composite |
381 | 1, 3, 127, 381 | 3 × 127 | Composite |
382 | 1, 2, 191, 382 | 2 × 191 | Composite |
383 | 1, 383 | 383 | Prime |
384 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384 | 2⁷ × 3 | Composite |
385 | 1, 5, 7, 11, 35, 55, 77, 385 | 5 × 7 × 11 | Composite |
386 | 1, 2, 193, 386 | 2 × 193 | Composite |
387 | 1, 3, 9, 43, 129, 387 | 3² × 43 | Composite |
388 | 1, 2, 4, 97, 194, 388 | 2² × 97 | Composite |
389 | 1, 389 | 389 | Prime |
390 | 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390 | 2 × 3 × 5 × 13 | Composite |
391 | 1, 17, 23, 391 | 17 × 23 | Composite |
392 | 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392 | 2³ × 7² | Composite |
393 | 1, 3, 131, 393 | 3 × 131 | Composite |
394 | 1, 2, 197, 394 | 2 × 197 | Composite |
395 | 1, 5, 79, 395 | 5 × 79 | Composite |
396 | 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396 | 2² × 3² × 11 | Composite |
397 | 1, 397 | 397 | Prime |
398 | 1, 2, 199, 398 | 2 × 199 | Composite |
399 | 1, 3, 7, 19, 21, 57, 133, 399 | 3 × 7 × 19 | Composite |
400 | 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 200, 400 | 2⁴ × 5² | Composite |
The factors of numbers ranging from 301 to 400 are diverse, reflecting the unique compositions of these numbers. Prime numbers in this range, such as 307, 311, and 317, have only two factors: 1 and themselves. Composite numbers like 324 (with factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324) showcase a rich array of divisors. Identifying factors helps in various mathematical applications, such as simplifying fractions, finding greatest common divisors, and solving equations. Overall, understanding the factors within this range enhances comprehension of number properties and their relationships.
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Which of the following is a factor of 320?
6
8
12
16
What are the factors of 343?
1, 7, 49, 343
1, 3, 7, 343
1, 11, 49, 343
1, 5, 7, 343
Which of the following is not a factor of 375?
3
5
8
12
What are the factors of 392?
1, 2, 4, 7, 14, 28, 49, 56, 98, 196, 392
1, 2, 4, 7, 14, 49, 98, 392
1, 2, 7, 14, 28, 56, 392
1, 2, 3, 14, 98, 392
Which number is a factor of both 350 and 400?
25
50
75
100
What are the factors of 375?
1, 5, 25, 125, 375
1, 3, 5, 15, 75, 125
1, 2, 5, 15, 25, 375
1, 3, 5, 15, 25, 75, 125, 375
Which number is a factor of 399?
9
11
14
18
Which of the following is not a factor of 301?
7
13
23
29
What are the prime factors of 350?
2, 5, 7
2, 3, 7
2, 5, 9
3, 5, 7
Which number is a factor of both 350 and 375?
15
20
25
30
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