Multiples of 47

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Created by: Team Maths - Examples.com, Last Updated: May 29, 2024

Multiples of 47

In mathematics, multiples of 47 are obtained by multiplying 47 by integers. A multiple of 47 is a number that can be expressed as 47 times another integer. These numbers have 47 as one of their divisors and factors. Multiplication plays a crucial role in identifying these multiples, such as 47, 94, 141, and so on. Understanding multiples helps in various mathematical concepts like least common multiple (LCM) and divisibility rules.

What are Multiples of 47?

Multiples of 47 are numbers that result from multiplying 47 by any integer. In mathematics, these multiples include 47, 94, 141, and so on, each being a product of 47 and an integer. They all have 47 as a common factor and divisor.

Prime Factorization of 47: 1 × 47 First 10 Multiples of 47 are 47, 94, 141, 188, 235, 282, 329, 376, 423, 470.

For example, 188, 282, 376 and 423 are all multiples of 47, 490 is not a multiple of 47 for the following reasons:

NumberReasonRemainder
188188 is a multiple of 47 because 47 × 4 = 1880
282282 is a multiple of 47 because 47 × 6 = 2820
376376 is a multiple of 47 because 47 × 8 = 3760
423423 is a multiple of 47 because 47 × 9 = 4230
490490 is not a multiple of 47 because 47 × 10 = 470 with a remainder of 2020

List of First 100 Multiples of 47 with Remainders

List-of-First-100-Multiples-of-47
NumberReasonRemainder
4747 is a multiple of 47 because 47 × 1 = 470
9494 is a multiple of 47 because 47 × 2 = 940
141141 is a multiple of 47 because 47 × 3 = 1410
188188 is a multiple of 47 because 47 × 4 = 1880
235235 is a multiple of 47 because 47 × 5 = 2350
282282 is a multiple of 47 because 47 × 6 = 2820
329329 is a multiple of 47 because 47 × 7 = 3290
376376 is a multiple of 47 because 47 × 8 = 3760
423423 is a multiple of 47 because 47 × 9 = 4230
470470 is a multiple of 47 because 47 × 10 = 4700
517517 is a multiple of 47 because 47 × 11 = 5170
564564 is a multiple of 47 because 47 × 12 = 5640
611611 is a multiple of 47 because 47 × 13 = 6110
658658 is a multiple of 47 because 47 × 14 = 6580
705705 is a multiple of 47 because 47 × 15 = 7050
752752 is a multiple of 47 because 47 × 16 = 7520
799799 is a multiple of 47 because 47 × 17 = 7990
846846 is a multiple of 47 because 47 × 18 = 8460
893893 is a multiple of 47 because 47 × 19 = 8930
940940 is a multiple of 47 because 47 × 20 = 9400
987987 is a multiple of 47 because 47 × 21 = 9870
10341034 is a multiple of 47 because 47 × 22 = 10340
10811081 is a multiple of 47 because 47 × 23 = 10810
11281128 is a multiple of 47 because 47 × 24 = 11280
11751175 is a multiple of 47 because 47 × 25 = 11750
12221222 is a multiple of 47 because 47 × 26 = 12220
12691269 is a multiple of 47 because 47 × 27 = 12690
13161316 is a multiple of 47 because 47 × 28 = 13160
13631363 is a multiple of 47 because 47 × 29 = 13630
14101410 is a multiple of 47 because 47 × 30 = 14100
14571457 is a multiple of 47 because 47 × 31 = 14570
15041504 is a multiple of 47 because 47 × 32 = 15040
15511551 is a multiple of 47 because 47 × 33 = 15510
15981598 is a multiple of 47 because 47 × 34 = 15980
16451645 is a multiple of 47 because 47 × 35 = 16450
16921692 is a multiple of 47 because 47 × 36 = 16920
17391739 is a multiple of 47 because 47 × 37 = 17390
17861786 is a multiple of 47 because 47 × 38 = 17860
18331833 is a multiple of 47 because 47 × 39 = 18330
18801880 is a multiple of 47 because 47 × 40 = 18800
19271927 is a multiple of 47 because 47 × 41 = 19270
19741974 is a multiple of 47 because 47 × 42 = 19740
20212021 is a multiple of 47 because 47 × 43 = 20210
20682068 is a multiple of 47 because 47 × 44 = 20680
21152115 is a multiple of 47 because 47 × 45 = 21150
21622162 is a multiple of 47 because 47 × 46 = 21620
22092209 is a multiple of 47 because 47 × 47 = 22090
22562256 is a multiple of 47 because 47 × 48 = 22560
23032303 is a multiple of 47 because 47 × 49 = 23030
23502350 is a multiple of 47 because 47 × 50 = 23500
23972397 is a multiple of 47 because 47 × 51 = 23970
24442444 is a multiple of 47 because 47 × 52 = 24440
24912491 is a multiple of 47 because 47 × 53 = 24910
25382538 is a multiple of 47 because 47 × 54 = 25380
25852585 is a multiple of 47 because 47 × 55 = 25850
26322632 is a multiple of 47 because 47 × 56 = 26320
26792679 is a multiple of 47 because 47 × 57 = 26790
27262726 is a multiple of 47 because 47 × 58 = 27260
27732773 is a multiple of 47 because 47 × 59 = 27730
28202820 is a multiple of 47 because 47 × 60 = 28200
28672867 is a multiple of 47 because 47 × 61 = 28670
29142914 is a multiple of 47 because 47 × 62 = 29140
29612961 is a multiple of 47 because 47 × 63 = 29610
30083008 is a multiple of 47 because 47 × 64 = 30080
30553055 is a multiple of 47 because 47 × 65 = 30550
31023102 is a multiple of 47 because 47 × 66 = 31020
31493149 is a multiple of 47 because 47 × 67 = 31490
31963196 is a multiple of 47 because 47 × 68 = 31960
32433243 is a multiple of 47 because 47 × 69 = 32430
32903290 is a multiple of 47 because 47 × 70 = 32900
33373337 is a multiple of 47 because 47 × 71 = 33370
33843384 is a multiple of 47 because 47 × 72 = 33840
34313431 is a multiple of 47 because 47 × 73 = 34310
34783478 is a multiple of 47 because 47 × 74 = 34780
35253525 is a multiple of 47 because 47 × 75 = 35250
35723572 is a multiple of 47 because 47 × 76 = 35720
36193619 is a multiple of 47 because 47 × 77 = 36190
36663666 is a multiple of 47 because 47 × 78 = 36660
37133713 is a multiple of 47 because 47 × 79 = 37130
37603760 is a multiple of 47 because 47 × 80 = 37600
38073807 is a multiple of 47 because 47 × 81 = 38070
38543854 is a multiple of 47 because 47 × 82 = 38540
39013901 is a multiple of 47 because 47 × 83 = 39010
39483948 is a multiple of 47 because 47 × 84 = 39480
39953995 is a multiple of 47 because 47 × 85 = 39950
40424042 is a multiple of 47 because 47 × 86 = 40420
40894089 is a multiple of 47 because 47 × 87 = 40890
41364136 is a multiple of 47 because 47 × 88 = 41360
41834183 is a multiple of 47 because 47 × 89 = 41830
42304230 is a multiple of 47 because 47 × 90 = 42300
42774277 is a multiple of 47 because 47 × 91 = 42770
43244324 is a multiple of 47 because 47 × 92 = 43240
43714371 is a multiple of 47 because 47 × 93 = 43710
44184418 is a multiple of 47 because 47 × 94 = 44180
44654465 is a multiple of 47 because 47 × 95 = 44650
45124512 is a multiple of 47 because 47 × 96 = 45120
45594559 is a multiple of 47 because 47 × 97 = 45590
46064606 is a multiple of 47 because 47 × 98 = 46060
46534653 is a multiple of 47 because 47 × 99 = 46530
47004700 is a multiple of 47 because 47 × 100 = 47000

Read More About Multiples of 47

Table of 47

Important Notes

Definition

Multiples of 47 are numbers that can be expressed as 47 times any integer (e.g., 47, 94, 141).

Sequence

The sequence of multiples of 47 begins with 47, 94, 141, 188, 235, and continues infinitely by adding 47 repeatedly.

Divisibility

Any multiple of 47 is divisible by both 47 and its factors, such as 1 and 47.

Calculation

To find the nth multiple of 47, multiply 47 by n (e.g., the 5th multiple of 47 is 47 x 5 = 235).

Patterns

Multiples of 47 do not follow a simple pattern in their last digit as 47 is a prime number. The last digit varies as the multiple changes.

Summary Table

StepMultiple of 47Calculation
14747 x 1 = 47
29447 x 2 = 94
314147 x 3 = 141
418847 x 4 = 188
523547 x 5 = 235

Examples on Multiples of 47

Simple Multiples

  • 94: 47×2 = 94
  • 141: 47×3 = 141
  • 188: 47×4 = 188

Larger Multiples

  • 470: 47×10 = 470
  • 940: 47×20 = 940
  • 1880: 47×40 = 1880

Real-Life Examples

  • Time: If an event lasts 47 minutes, three such events will last 141 minutes (47×3 = 141).
  • Money: If an item costs $47, buying 10 of these items will cost $470 (47×10 = 470).
  • Measurements: A piece of fabric measuring 47 inches in width, if doubled, will measure 94 inches (47×2 = 94).

Practical Examples of Multiples of 47

What is the 15th multiple of 47?

The 15th multiple of 47 is 47×15 = 705.

Is 235 a multiple of 47?

Yes, 235 is a multiple of 47 because 47×5 = 235.

What is the next multiple of 47 after 235?

The next multiple of 47 after 235 is 235+47 = 282.

Find the 25th multiple of 47.

The 25th multiple of 47 is 47×25 = 1175.

Is 500 a multiple of 47?

No, 500 is not a multiple of 47 because it cannot be expressed as 47×n.

FAQs

What is a multiple of 47?

A multiple of 47 is any number that can be expressed as 47 times an integer. For example, 94 is a multiple of 47 because 47×2 = 94.

How can you find the first five multiples of 47?

To find the first five multiples of 47, multiply 47 by the integers 1 through 5:
47×1 = 47
47×2 = 94
47×3 = 141
47×4 = 188
47×5 = 235

Is 141 a multiple of 47?

Yes, 141 is a multiple of 47 because 47×3=141.

What is the 10th multiple of 47?

The 10th multiple of 47 is 47×10 = 470.

How do you determine if a number is a multiple of 47?

To determine if a number is a multiple of 47, divide the number by 47. If the quotient is an integer with no remainder, the number is a multiple of 47.

Are 47 and 94 multiples of each other?

No, 47 and 94 are not multiples of each other, but 94 is a multiple of 47 because 47×2=94.

Can a multiple of 47 be an odd number?

Yes, a multiple of 47 can be an odd number. For example, 47×1 = 47 and 47×3 = 141 are both odd multiples of 47.

What are the multiples of 47 between 100 and 500?

The multiples of 47 between 100 and 500 are:
47×3 = 141
47×4 = 188
47×5 = 235
47×6 = 282
47×7 = 329
47×8 = 376
47×9 = 423
47×10 = 470

Is 47 a prime number, and does it affect its multiples?

Yes, 47 is a prime number because it has no divisors other than 1 and itself. Its multiples are simply 47 times any integer.

What is the smallest multiple of 47 that is greater than 500?

The smallest multiple of 47 that is greater than 500 is 47×11 = 517.

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