Factors of 360
"Factors of a Number" Calculator
What are the Factors of 360?
Answer
Factors of 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
(number 360 has 24 factors)
Factor Pairs of 360
A Factor Pair of number 360 is a combination of two factors which can be multiplied together to equal 360.
List of all possible Factor Pairs of 360:
- 1 × 360 = 360
- 2 × 180 = 360
- 3 × 120 = 360
- 4 × 90 = 360
- 5 × 72 = 360
- 6 × 60 = 360
- 8 × 45 = 360
- 9 × 40 = 360
- 10 × 36 = 360
- 12 × 30 = 360
- 15 × 24 = 360
- 18 × 20 = 360
How to find the Factors of 360
Divide 360 by every whole number from 1 up to 18. Each division without a remainder gives a factor and its pair. There is no point going further: 19 × 19 = 361 is already greater than 360, so any larger divisor would pair with a smaller one you have already checked.
- 360 ÷ 1 = 360 — factors 1 and 360
- 360 ÷ 2 = 180 — factors 2 and 180
- 360 ÷ 3 = 120 — factors 3 and 120
- 360 ÷ 4 = 90 — factors 4 and 90
- 360 ÷ 5 = 72 — factors 5 and 72
- 360 ÷ 6 = 60 — factors 6 and 60
- 360 ÷ 7 — remainder 3, not a factor
- 360 ÷ 8 = 45 — factors 8 and 45
- 360 ÷ 9 = 40 — factors 9 and 40
- 360 ÷ 10 = 36 — factors 10 and 36
- 360 ÷ 11 — remainder 8, not a factor
- 360 ÷ 12 = 30 — factors 12 and 30
- 360 ÷ 13 — remainder 9, not a factor
- 360 ÷ 14 — remainder 10, not a factor
- 360 ÷ 15 = 24 — factors 15 and 24
- 360 ÷ 16 — remainder 8, not a factor
- 360 ÷ 17 — remainder 3, not a factor
- 360 ÷ 18 = 20 — factors 18 and 20
Why 360 has exactly 24 factors
The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.
360 = 23 × 32 × 5
(3 + 1) × (2 + 1) × (1 + 1) = 24
Step-by-step factorization: Prime factors of 360.
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See Also
- Prime Number Checker - Find out whether a given number is Prime or not
- Prime Factorization - Prime Factorization Calculator
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
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Factors Table
| Number | Factors |
|---|---|
| 345 | 1, 3, 5, 15, 23, 69, 115, 345 |
| 346 | 1, 2, 173, 346 |
| 347 | 1, 347 |
| 348 | 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 |
| 349 | 1, 349 |
| 350 | 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350 |
| 351 | 1, 3, 9, 13, 27, 39, 117, 351 |
| 352 | 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352 |
| 353 | 1, 353 |
| 354 | 1, 2, 3, 6, 59, 118, 177, 354 |
| 355 | 1, 5, 71, 355 |
| 356 | 1, 2, 4, 89, 178, 356 |
| 357 | 1, 3, 7, 17, 21, 51, 119, 357 |
| 358 | 1, 2, 179, 358 |
| 359 | 1, 359 |
| 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 |
| 361 | 1, 19, 361 |
| 362 | 1, 2, 181, 362 |
| 363 | 1, 3, 11, 33, 121, 363 |
| 364 | 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364 |
| 365 | 1, 5, 73, 365 |
| 366 | 1, 2, 3, 6, 61, 122, 183, 366 |
| 367 | 1, 367 |
| 368 | 1, 2, 4, 8, 16, 23, 46, 92, 184, 368 |
| 369 | 1, 3, 9, 41, 123, 369 |
| 370 | 1, 2, 5, 10, 37, 74, 185, 370 |
| 371 | 1, 7, 53, 371 |
| 372 | 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372 |
| 373 | 1, 373 |
| 374 | 1, 2, 11, 17, 22, 34, 187, 374 |
About "Factors of a Number" Calculator
This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 360? (The answer is: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360). Pick the number (e.g. '360'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator