What is the sum of the 2nd and 4th multiples of 49?
147
245
294
392
of 10
Multiples of 49 – 100+ List, Examples
Multiples of 49 – 100+ List, Examples
Multiples of 49 are numbers that result from multiplying 49 by any integer. These multiples are part of the larger set of integers and play a crucial role in understanding number theory, specifically in the context of multiplication. In mathematics, identifying multiples helps in determining factors and divisors of a given number. For instance, some initial multiples of 49 include 49, 98, 147, and 196, each being the product of 49 and a positive integer. Studying multiples aids in grasping the relationship between numbers, their divisors, and their common factors.
What are Multiples of 49?
Multiples of 49 are numbers that result from multiplying 49 by any integer. They are part of the arithmetic sequence 49, 98, 147, and so on. Each multiple has 49 as a factor and is divisible by 49.
For example, 147, 294, 343 and 441 are all multiples of 49, 503 is not a multiple of 49 for the following reasons:
| Number | Reason | Remainder |
|---|---|---|
| 147 | 147 is a multiple of 49 because 49 × 3 = 147 | 0 |
| 294 | 294 is a multiple of 49 because 49 × 6 = 294 | 0 |
| 343 | 343 is a multiple of 49 because 49 × 7 = 343 | 0 |
| 441 | 441 is a multiple of 49 because 49 × 9 = 441 | 0 |
| 503 | 503 is not a multiple of 49 because 49 × 10 = 490 with a remainder of 13 | 13 |
List of First 100 Multiples of 49 with Remainders
| Number | Reason | Remainder |
|---|---|---|
| 49 | 49 is a multiple of 49 because 49 × 1 = 49 | 0 |
| 98 | 98 is a multiple of 49 because 49 × 2 = 98 | 0 |
| 147 | 147 is a multiple of 49 because 49 × 3 = 147 | 0 |
| 196 | 196 is a multiple of 49 because 49 × 4 = 196 | 0 |
| 245 | 245 is a multiple of 49 because 49 × 5 = 245 | 0 |
| 294 | 294 is a multiple of 49 because 49 × 6 = 294 | 0 |
| 343 | 343 is a multiple of 49 because 49 × 7 = 343 | 0 |
| 392 | 392 is a multiple of 49 because 49 × 8 = 392 | 0 |
| 441 | 441 is a multiple of 49 because 49 × 9 = 441 | 0 |
| 490 | 490 is a multiple of 49 because 49 × 10 = 490 | 0 |
| 539 | 539 is a multiple of 49 because 49 × 11 = 539 | 0 |
| 588 | 588 is a multiple of 49 because 49 × 12 = 588 | 0 |
| 637 | 637 is a multiple of 49 because 49 × 13 = 637 | 0 |
| 686 | 686 is a multiple of 49 because 49 × 14 = 686 | 0 |
| 735 | 735 is a multiple of 49 because 49 × 15 = 735 | 0 |
| 784 | 784 is a multiple of 49 because 49 × 16 = 784 | 0 |
| 833 | 833 is a multiple of 49 because 49 × 17 = 833 | 0 |
| 882 | 882 is a multiple of 49 because 49 × 18 = 882 | 0 |
| 931 | 931 is a multiple of 49 because 49 × 19 = 931 | 0 |
| 980 | 980 is a multiple of 49 because 49 × 20 = 980 | 0 |
| 1029 | 1029 is a multiple of 49 because 49 × 21 = 1029 | 0 |
| 1078 | 1078 is a multiple of 49 because 49 × 22 = 1078 | 0 |
| 1127 | 1127 is a multiple of 49 because 49 × 23 = 1127 | 0 |
| 1176 | 1176 is a multiple of 49 because 49 × 24 = 1176 | 0 |
| 1225 | 1225 is a multiple of 49 because 49 × 25 = 1225 | 0 |
| 1274 | 1274 is a multiple of 49 because 49 × 26 = 1274 | 0 |
| 1323 | 1323 is a multiple of 49 because 49 × 27 = 1323 | 0 |
| 1372 | 1372 is a multiple of 49 because 49 × 28 = 1372 | 0 |
| 1421 | 1421 is a multiple of 49 because 49 × 29 = 1421 | 0 |
| 1470 | 1470 is a multiple of 49 because 49 × 30 = 1470 | 0 |
| 1519 | 1519 is a multiple of 49 because 49 × 31 = 1519 | 0 |
| 1568 | 1568 is a multiple of 49 because 49 × 32 = 1568 | 0 |
| 1617 | 1617 is a multiple of 49 because 49 × 33 = 1617 | 0 |
| 1666 | 1666 is a multiple of 49 because 49 × 34 = 1666 | 0 |
| 1715 | 1715 is a multiple of 49 because 49 × 35 = 1715 | 0 |
| 1764 | 1764 is a multiple of 49 because 49 × 36 = 1764 | 0 |
| 1813 | 1813 is a multiple of 49 because 49 × 37 = 1813 | 0 |
| 1862 | 1862 is a multiple of 49 because 49 × 38 = 1862 | 0 |
| 1911 | 1911 is a multiple of 49 because 49 × 39 = 1911 | 0 |
| 1960 | 1960 is a multiple of 49 because 49 × 40 = 1960 | 0 |
| 2009 | 2009 is a multiple of 49 because 49 × 41 = 2009 | 0 |
| 2058 | 2058 is a multiple of 49 because 49 × 42 = 2058 | 0 |
| 2107 | 2107 is a multiple of 49 because 49 × 43 = 2107 | 0 |
| 2156 | 2156 is a multiple of 49 because 49 × 44 = 2156 | 0 |
| 2205 | 2205 is a multiple of 49 because 49 × 45 = 2205 | 0 |
| 2254 | 2254 is a multiple of 49 because 49 × 46 = 2254 | 0 |
| 2303 | 2303 is a multiple of 49 because 49 × 47 = 2303 | 0 |
| 2352 | 2352 is a multiple of 49 because 49 × 48 = 2352 | 0 |
| 2401 | 2401 is a multiple of 49 because 49 × 49 = 2401 | 0 |
| 2450 | 2450 is a multiple of 49 because 49 × 50 = 2450 | 0 |
| 2499 | 2499 is a multiple of 49 because 49 × 51 = 2499 | 0 |
| 2548 | 2548 is a multiple of 49 because 49 × 52 = 2548 | 0 |
| 2597 | 2597 is a multiple of 49 because 49 × 53 = 2597 | 0 |
| 2646 | 2646 is a multiple of 49 because 49 × 54 = 2646 | 0 |
| 2695 | 2695 is a multiple of 49 because 49 × 55 = 2695 | 0 |
| 2744 | 2744 is a multiple of 49 because 49 × 56 = 2744 | 0 |
| 2793 | 2793 is a multiple of 49 because 49 × 57 = 2793 | 0 |
| 2842 | 2842 is a multiple of 49 because 49 × 58 = 2842 | 0 |
| 2891 | 2891 is a multiple of 49 because 49 × 59 = 2891 | 0 |
| 2940 | 2940 is a multiple of 49 because 49 × 60 = 2940 | 0 |
| 2989 | 2989 is a multiple of 49 because 49 × 61 = 2989 | 0 |
| 3038 | 3038 is a multiple of 49 because 49 × 62 = 3038 | 0 |
| 3087 | 3087 is a multiple of 49 because 49 × 63 = 3087 | 0 |
| 3136 | 3136 is a multiple of 49 because 49 × 64 = 3136 | 0 |
| 3185 | 3185 is a multiple of 49 because 49 × 65 = 3185 | 0 |
| 3234 | 3234 is a multiple of 49 because 49 × 66 = 3234 | 0 |
| 3283 | 3283 is a multiple of 49 because 49 × 67 = 3283 | 0 |
| 3332 | 3332 is a multiple of 49 because 49 × 68 = 3332 | 0 |
| 3381 | 3381 is a multiple of 49 because 49 × 69 = 3381 | 0 |
| 3430 | 3430 is a multiple of 49 because 49 × 70 = 3430 | 0 |
| 3479 | 3479 is a multiple of 49 because 49 × 71 = 3479 | 0 |
| 3528 | 3528 is a multiple of 49 because 49 × 72 = 3528 | 0 |
| 3577 | 3577 is a multiple of 49 because 49 × 73 = 3577 | 0 |
| 3626 | 3626 is a multiple of 49 because 49 × 74 = 3626 | 0 |
| 3675 | 3675 is a multiple of 49 because 49 × 75 = 3675 | 0 |
| 3724 | 3724 is a multiple of 49 because 49 × 76 = 3724 | 0 |
| 3773 | 3773 is a multiple of 49 because 49 × 77 = 3773 | 0 |
| 3822 | 3822 is a multiple of 49 because 49 × 78 = 3822 | 0 |
| 3871 | 3871 is a multiple of 49 because 49 × 79 = 3871 | 0 |
| 3920 | 3920 is a multiple of 49 because 49 × 80 = 3920 | 0 |
| 3969 | 3969 is a multiple of 49 because 49 × 81 = 3969 | 0 |
| 4018 | 4018 is a multiple of 49 because 49 × 82 = 4018 | 0 |
| 4067 | 4067 is a multiple of 49 because 49 × 83 = 4067 | 0 |
| 4116 | 4116 is a multiple of 49 because 49 × 84 = 4116 | 0 |
| 4165 | 4165 is a multiple of 49 because 49 × 85 = 4165 | 0 |
| 4214 | 4214 is a multiple of 49 because 49 × 86 = 4214 | 0 |
| 4263 | 4263 is a multiple of 49 because 49 × 87 = 4263 | 0 |
| 4312 | 4312 is a multiple of 49 because 49 × 88 = 4312 | 0 |
| 4361 | 4361 is a multiple of 49 because 49 × 89 = 4361 | 0 |
| 4410 | 4410 is a multiple of 49 because 49 × 90 = 4410 | 0 |
| 4459 | 4459 is a multiple of 49 because 49 × 91 = 4459 | 0 |
| 4508 | 4508 is a multiple of 49 because 49 × 92 = 4508 | 0 |
| 4557 | 4557 is a multiple of 49 because 49 × 93 = 4557 | 0 |
| 4606 | 4606 is a multiple of 49 because 49 × 94 = 4606 | 0 |
| 4655 | 4655 is a multiple of 49 because 49 × 95 = 4655 | 0 |
| 4704 | 4704 is a multiple of 49 because 49 × 96 = 4704 | 0 |
| 4753 | 4753 is a multiple of 49 because 49 × 97 = 4753 | 0 |
| 4802 | 4802 is a multiple of 49 because 49 × 98 = 4802 | 0 |
| 4851 | 4851 is a multiple of 49 because 49 × 99 = 4851 | 0 |
| 4900 | 4900 is a multiple of 49 because 49 × 100 = 4900 | 0 |
Read More About Multiples of 49
Important Notes
Definition
Multiples of 49 are numbers that can be expressed as 49 times any integer (e.g., 49, 98, 147).
Sequence
The sequence of multiples of 49 begins with 49, 98, 147, 196, 245, and continues infinitely by adding 49 repeatedly.
Divisibility
Any multiple of 49 is divisible by both 49 and its factors, such as 1, 7, and 49.
Calculation
To find the nth multiple of 49, multiply 49 by n (e.g., the 5th multiple of 49 is 49 x 5 = 245).
Patterns
Multiples of 49 do not follow a simple ending pattern like multiples of 10 or 5, but they increase by 49 each time, forming a regular arithmetic sequence.
Examples on Multiples of 49
Simple Multiples of 49
- 49: 49×1 = 49
- 49 times 1 is equal to 49.
- 98: 49×2 = 98
- 49 times 2 is equal to 98.
- 147: 49×3 = 147
- 49 times 3 is equal to 147.
Larger Multiples of 49
- 490: 49×10 = 490
- 49 times 10 is equal to 490.
- 980: 49×20 = 980
- 49 times 20 is equal to 980.
Real-Life Examples of Multiples of 49
Sports: 49ers
- Example: The San Francisco 49ers football team gets its name from the year 1849, significant to the California Gold Rush.
Education: 49 Students
- Example: A class with 49 students is a multiple of 49 because it is 49×1.
Time: 49 Days
- Example: A period of 49 days is a multiple of 49 because it is 49×1.
Practical Examples of Multiples of 49
What is the 15th multiple of 49?
- The 15th multiple of 49 is 49×15 = 735.
Is 294 a multiple of 49?
- Yes, 294 is a multiple of 49 because 49×6 = 294.
What is the next multiple of 49 after 441?
- The next multiple of 49 after 441 is 441 + 49 = 490.
Find the 25th multiple of 49.
- The 25th multiple of 49 is 49×25 = 1225.
Is 353 a multiple of 49?
- No, 353 is not a multiple of 49 because it cannot be expressed as 49×n for any integer n.
FAQs
What is a multiple of 49?
A multiple of 49 is a number that can be expressed as 49 times an integer. For example, 49, 98, 147, and 196 are all multiples of 49.
How do you find the multiples of 49?
To find multiples of 49, multiply 49 by any integer. For instance, 49 × 1 = 49, 49 × 2 = 98, 49 × 3 = 147, and so on.
What is the 5th multiple of 49?
The 5th multiple of 49 is 49 × 5 = 245.
Is 343 a multiple of 49?
Yes, 343 is a multiple of 49 because 49 × 7 = 343.
What is the smallest multiple of 49?
The smallest multiple of 49 is 49 itself (49 × 1 = 49).
What is the 10th multiple of 49?
The 10th multiple of 49 is 49 × 10 = 490.
Are all multiples of 49 also multiples of 7?
Yes, all multiples of 49 are also multiples of 7 because 49 is a multiple of 7 (49 = 7 × 7).
What is the 20th multiple of 49?
The 20th multiple of 49 is 49 × 20 = 980.
Is 500 a multiple of 49?
No, 500 is not a multiple of 49 because there is no integer n such that 49 × n = 500.
How can multiples of 49 be used in real life?
Multiples of 49 can be used in real-life scenarios such as calculating quantities in bulk (e.g., 49-pack items), scheduling (e.g., events every 49 days), and financial planning (e.g., budgeting for items costing 49 units each).
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Practice Test
Which number is exactly 3 times the 5th multiple of 49?
735
980
1029
1470
of 10
If you subtract the 3rd multiple of 49 from the 6th multiple, what is the result?
147
294
343
441
of 10
What is the product of the 7th and 8th multiples of 49?
1,960
2,058
2,204
2,588
of 10
Which of the following numbers is a multiple of 49 and is closest to 600?
490
539
588
637
of 10
How many times does 49 fit into 735?
10
12
15
17
of 10
What is the difference between the 10th and 3rd multiples of 49?
245
294
343
490
of 10
What is the quotient when the 8th multiple of 49 is divided by the 4th multiple?
2
3
4
5
of 10
Which number is 50 less than the 9th multiple of 49?
343
392
441
490
of 10
What is the 12th multiple of 49?
588
637
735
784
of 10