Factors of 120
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What are the Factors of 120?
Answer
Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
(number 120 has 16 factors)
Factor Pairs of 120
A Factor Pair of number 120 is a combination of two factors which can be multiplied together to equal 120.
List of all possible Factor Pairs of 120:
- 1 × 120 = 120
- 2 × 60 = 120
- 3 × 40 = 120
- 4 × 30 = 120
- 5 × 24 = 120
- 6 × 20 = 120
- 8 × 15 = 120
- 10 × 12 = 120
How to find the Factors of 120
Divide 120 by every whole number from 1 up to 10. Each division without a remainder gives a factor and its pair. There is no point going further: 11 × 11 = 121 is already greater than 120, so any larger divisor would pair with a smaller one you have already checked.
- 120 ÷ 1 = 120 — factors 1 and 120
- 120 ÷ 2 = 60 — factors 2 and 60
- 120 ÷ 3 = 40 — factors 3 and 40
- 120 ÷ 4 = 30 — factors 4 and 30
- 120 ÷ 5 = 24 — factors 5 and 24
- 120 ÷ 6 = 20 — factors 6 and 20
- 120 ÷ 7 — remainder 1, not a factor
- 120 ÷ 8 = 15 — factors 8 and 15
- 120 ÷ 9 — remainder 3, not a factor
- 120 ÷ 10 = 12 — factors 10 and 12
Why 120 has exactly 16 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.
120 = 23 × 3 × 5
(3 + 1) × (1 + 1) × (1 + 1) = 16
Step-by-step factorization: Prime factors of 120.
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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 |
|---|---|
| 105 | 1, 3, 5, 7, 15, 21, 35, 105 |
| 106 | 1, 2, 53, 106 |
| 107 | 1, 107 |
| 108 | 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 |
| 109 | 1, 109 |
| 110 | 1, 2, 5, 10, 11, 22, 55, 110 |
| 111 | 1, 3, 37, 111 |
| 112 | 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 |
| 113 | 1, 113 |
| 114 | 1, 2, 3, 6, 19, 38, 57, 114 |
| 115 | 1, 5, 23, 115 |
| 116 | 1, 2, 4, 29, 58, 116 |
| 117 | 1, 3, 9, 13, 39, 117 |
| 118 | 1, 2, 59, 118 |
| 119 | 1, 7, 17, 119 |
| 120 | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 |
| 121 | 1, 11, 121 |
| 122 | 1, 2, 61, 122 |
| 123 | 1, 3, 41, 123 |
| 124 | 1, 2, 4, 31, 62, 124 |
| 125 | 1, 5, 25, 125 |
| 126 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 |
| 127 | 1, 127 |
| 128 | 1, 2, 4, 8, 16, 32, 64, 128 |
| 129 | 1, 3, 43, 129 |
| 130 | 1, 2, 5, 10, 13, 26, 65, 130 |
| 131 | 1, 131 |
| 132 | 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 |
| 133 | 1, 7, 19, 133 |
| 134 | 1, 2, 67, 134 |
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 120? (The answer is: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120). Pick the number (e.g. '120'). 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