Factors of 60
"Factors of a Number" Calculator
What are the Factors of 60?
Answer
Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
(number 60 has 12 factors)
Factor Pairs of 60
A Factor Pair of number 60 is a combination of two factors which can be multiplied together to equal 60.
List of all possible Factor Pairs of 60:
- 1 × 60 = 60
- 2 × 30 = 60
- 3 × 20 = 60
- 4 × 15 = 60
- 5 × 12 = 60
- 6 × 10 = 60
How to find the Factors of 60
Divide 60 by every whole number from 1 up to 7. Each division without a remainder gives a factor and its pair. There is no point going further: 8 × 8 = 64 is already greater than 60, so any larger divisor would pair with a smaller one you have already checked.
- 60 ÷ 1 = 60 — factors 1 and 60
- 60 ÷ 2 = 30 — factors 2 and 30
- 60 ÷ 3 = 20 — factors 3 and 20
- 60 ÷ 4 = 15 — factors 4 and 15
- 60 ÷ 5 = 12 — factors 5 and 12
- 60 ÷ 6 = 10 — factors 6 and 10
- 60 ÷ 7 — remainder 4, not a factor
Why 60 has exactly 12 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.
60 = 22 × 3 × 5
(2 + 1) × (1 + 1) × (1 + 1) = 12
Step-by-step factorization: Prime factors of 60.
Found an error in the calculation or the information?
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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 |
|---|---|
| 45 | 1, 3, 5, 9, 15, 45 |
| 46 | 1, 2, 23, 46 |
| 47 | 1, 47 |
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 49 | 1, 7, 49 |
| 50 | 1, 2, 5, 10, 25, 50 |
| 51 | 1, 3, 17, 51 |
| 52 | 1, 2, 4, 13, 26, 52 |
| 53 | 1, 53 |
| 54 | 1, 2, 3, 6, 9, 18, 27, 54 |
| 55 | 1, 5, 11, 55 |
| 56 | 1, 2, 4, 7, 8, 14, 28, 56 |
| 57 | 1, 3, 19, 57 |
| 58 | 1, 2, 29, 58 |
| 59 | 1, 59 |
| 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 |
| 61 | 1, 61 |
| 62 | 1, 2, 31, 62 |
| 63 | 1, 3, 7, 9, 21, 63 |
| 64 | 1, 2, 4, 8, 16, 32, 64 |
| 65 | 1, 5, 13, 65 |
| 66 | 1, 2, 3, 6, 11, 22, 33, 66 |
| 67 | 1, 67 |
| 68 | 1, 2, 4, 17, 34, 68 |
| 69 | 1, 3, 23, 69 |
| 70 | 1, 2, 5, 7, 10, 14, 35, 70 |
| 71 | 1, 71 |
| 72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 |
| 73 | 1, 73 |
| 74 | 1, 2, 37, 74 |
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 60? (The answer is: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60). Pick the number (e.g. '60'). 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