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.
For example, 188, 282, 376 and 423 are all multiples of 47, 490 is not a multiple of 47 for the following reasons:
Number | Reason | Remainder |
---|---|---|
188 | 188 is a multiple of 47 because 47 × 4 = 188 | 0 |
282 | 282 is a multiple of 47 because 47 × 6 = 282 | 0 |
376 | 376 is a multiple of 47 because 47 × 8 = 376 | 0 |
423 | 423 is a multiple of 47 because 47 × 9 = 423 | 0 |
490 | 490 is not a multiple of 47 because 47 × 10 = 470 with a remainder of 20 | 20 |
List of First 100 Multiples of 47 with Remainders
Number | Reason | Remainder |
---|---|---|
47 | 47 is a multiple of 47 because 47 × 1 = 47 | 0 |
94 | 94 is a multiple of 47 because 47 × 2 = 94 | 0 |
141 | 141 is a multiple of 47 because 47 × 3 = 141 | 0 |
188 | 188 is a multiple of 47 because 47 × 4 = 188 | 0 |
235 | 235 is a multiple of 47 because 47 × 5 = 235 | 0 |
282 | 282 is a multiple of 47 because 47 × 6 = 282 | 0 |
329 | 329 is a multiple of 47 because 47 × 7 = 329 | 0 |
376 | 376 is a multiple of 47 because 47 × 8 = 376 | 0 |
423 | 423 is a multiple of 47 because 47 × 9 = 423 | 0 |
470 | 470 is a multiple of 47 because 47 × 10 = 470 | 0 |
517 | 517 is a multiple of 47 because 47 × 11 = 517 | 0 |
564 | 564 is a multiple of 47 because 47 × 12 = 564 | 0 |
611 | 611 is a multiple of 47 because 47 × 13 = 611 | 0 |
658 | 658 is a multiple of 47 because 47 × 14 = 658 | 0 |
705 | 705 is a multiple of 47 because 47 × 15 = 705 | 0 |
752 | 752 is a multiple of 47 because 47 × 16 = 752 | 0 |
799 | 799 is a multiple of 47 because 47 × 17 = 799 | 0 |
846 | 846 is a multiple of 47 because 47 × 18 = 846 | 0 |
893 | 893 is a multiple of 47 because 47 × 19 = 893 | 0 |
940 | 940 is a multiple of 47 because 47 × 20 = 940 | 0 |
987 | 987 is a multiple of 47 because 47 × 21 = 987 | 0 |
1034 | 1034 is a multiple of 47 because 47 × 22 = 1034 | 0 |
1081 | 1081 is a multiple of 47 because 47 × 23 = 1081 | 0 |
1128 | 1128 is a multiple of 47 because 47 × 24 = 1128 | 0 |
1175 | 1175 is a multiple of 47 because 47 × 25 = 1175 | 0 |
1222 | 1222 is a multiple of 47 because 47 × 26 = 1222 | 0 |
1269 | 1269 is a multiple of 47 because 47 × 27 = 1269 | 0 |
1316 | 1316 is a multiple of 47 because 47 × 28 = 1316 | 0 |
1363 | 1363 is a multiple of 47 because 47 × 29 = 1363 | 0 |
1410 | 1410 is a multiple of 47 because 47 × 30 = 1410 | 0 |
1457 | 1457 is a multiple of 47 because 47 × 31 = 1457 | 0 |
1504 | 1504 is a multiple of 47 because 47 × 32 = 1504 | 0 |
1551 | 1551 is a multiple of 47 because 47 × 33 = 1551 | 0 |
1598 | 1598 is a multiple of 47 because 47 × 34 = 1598 | 0 |
1645 | 1645 is a multiple of 47 because 47 × 35 = 1645 | 0 |
1692 | 1692 is a multiple of 47 because 47 × 36 = 1692 | 0 |
1739 | 1739 is a multiple of 47 because 47 × 37 = 1739 | 0 |
1786 | 1786 is a multiple of 47 because 47 × 38 = 1786 | 0 |
1833 | 1833 is a multiple of 47 because 47 × 39 = 1833 | 0 |
1880 | 1880 is a multiple of 47 because 47 × 40 = 1880 | 0 |
1927 | 1927 is a multiple of 47 because 47 × 41 = 1927 | 0 |
1974 | 1974 is a multiple of 47 because 47 × 42 = 1974 | 0 |
2021 | 2021 is a multiple of 47 because 47 × 43 = 2021 | 0 |
2068 | 2068 is a multiple of 47 because 47 × 44 = 2068 | 0 |
2115 | 2115 is a multiple of 47 because 47 × 45 = 2115 | 0 |
2162 | 2162 is a multiple of 47 because 47 × 46 = 2162 | 0 |
2209 | 2209 is a multiple of 47 because 47 × 47 = 2209 | 0 |
2256 | 2256 is a multiple of 47 because 47 × 48 = 2256 | 0 |
2303 | 2303 is a multiple of 47 because 47 × 49 = 2303 | 0 |
2350 | 2350 is a multiple of 47 because 47 × 50 = 2350 | 0 |
2397 | 2397 is a multiple of 47 because 47 × 51 = 2397 | 0 |
2444 | 2444 is a multiple of 47 because 47 × 52 = 2444 | 0 |
2491 | 2491 is a multiple of 47 because 47 × 53 = 2491 | 0 |
2538 | 2538 is a multiple of 47 because 47 × 54 = 2538 | 0 |
2585 | 2585 is a multiple of 47 because 47 × 55 = 2585 | 0 |
2632 | 2632 is a multiple of 47 because 47 × 56 = 2632 | 0 |
2679 | 2679 is a multiple of 47 because 47 × 57 = 2679 | 0 |
2726 | 2726 is a multiple of 47 because 47 × 58 = 2726 | 0 |
2773 | 2773 is a multiple of 47 because 47 × 59 = 2773 | 0 |
2820 | 2820 is a multiple of 47 because 47 × 60 = 2820 | 0 |
2867 | 2867 is a multiple of 47 because 47 × 61 = 2867 | 0 |
2914 | 2914 is a multiple of 47 because 47 × 62 = 2914 | 0 |
2961 | 2961 is a multiple of 47 because 47 × 63 = 2961 | 0 |
3008 | 3008 is a multiple of 47 because 47 × 64 = 3008 | 0 |
3055 | 3055 is a multiple of 47 because 47 × 65 = 3055 | 0 |
3102 | 3102 is a multiple of 47 because 47 × 66 = 3102 | 0 |
3149 | 3149 is a multiple of 47 because 47 × 67 = 3149 | 0 |
3196 | 3196 is a multiple of 47 because 47 × 68 = 3196 | 0 |
3243 | 3243 is a multiple of 47 because 47 × 69 = 3243 | 0 |
3290 | 3290 is a multiple of 47 because 47 × 70 = 3290 | 0 |
3337 | 3337 is a multiple of 47 because 47 × 71 = 3337 | 0 |
3384 | 3384 is a multiple of 47 because 47 × 72 = 3384 | 0 |
3431 | 3431 is a multiple of 47 because 47 × 73 = 3431 | 0 |
3478 | 3478 is a multiple of 47 because 47 × 74 = 3478 | 0 |
3525 | 3525 is a multiple of 47 because 47 × 75 = 3525 | 0 |
3572 | 3572 is a multiple of 47 because 47 × 76 = 3572 | 0 |
3619 | 3619 is a multiple of 47 because 47 × 77 = 3619 | 0 |
3666 | 3666 is a multiple of 47 because 47 × 78 = 3666 | 0 |
3713 | 3713 is a multiple of 47 because 47 × 79 = 3713 | 0 |
3760 | 3760 is a multiple of 47 because 47 × 80 = 3760 | 0 |
3807 | 3807 is a multiple of 47 because 47 × 81 = 3807 | 0 |
3854 | 3854 is a multiple of 47 because 47 × 82 = 3854 | 0 |
3901 | 3901 is a multiple of 47 because 47 × 83 = 3901 | 0 |
3948 | 3948 is a multiple of 47 because 47 × 84 = 3948 | 0 |
3995 | 3995 is a multiple of 47 because 47 × 85 = 3995 | 0 |
4042 | 4042 is a multiple of 47 because 47 × 86 = 4042 | 0 |
4089 | 4089 is a multiple of 47 because 47 × 87 = 4089 | 0 |
4136 | 4136 is a multiple of 47 because 47 × 88 = 4136 | 0 |
4183 | 4183 is a multiple of 47 because 47 × 89 = 4183 | 0 |
4230 | 4230 is a multiple of 47 because 47 × 90 = 4230 | 0 |
4277 | 4277 is a multiple of 47 because 47 × 91 = 4277 | 0 |
4324 | 4324 is a multiple of 47 because 47 × 92 = 4324 | 0 |
4371 | 4371 is a multiple of 47 because 47 × 93 = 4371 | 0 |
4418 | 4418 is a multiple of 47 because 47 × 94 = 4418 | 0 |
4465 | 4465 is a multiple of 47 because 47 × 95 = 4465 | 0 |
4512 | 4512 is a multiple of 47 because 47 × 96 = 4512 | 0 |
4559 | 4559 is a multiple of 47 because 47 × 97 = 4559 | 0 |
4606 | 4606 is a multiple of 47 because 47 × 98 = 4606 | 0 |
4653 | 4653 is a multiple of 47 because 47 × 99 = 4653 | 0 |
4700 | 4700 is a multiple of 47 because 47 × 100 = 4700 | 0 |
Read More About Multiples 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
Step | Multiple of 47 | Calculation |
---|---|---|
1 | 47 | 47 x 1 = 47 |
2 | 94 | 47 x 2 = 94 |
3 | 141 | 47 x 3 = 141 |
4 | 188 | 47 x 4 = 188 |
5 | 235 | 47 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.