Factors of 120

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Factors of

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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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
Factors of

Factors Table

NumberFactors
1051, 3, 5, 7, 15, 21, 35, 105
1061, 2, 53, 106
1071, 107
1081, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1091, 109
1101, 2, 5, 10, 11, 22, 55, 110
1111, 3, 37, 111
1121, 2, 4, 7, 8, 14, 16, 28, 56, 112
1131, 113
1141, 2, 3, 6, 19, 38, 57, 114
1151, 5, 23, 115
1161, 2, 4, 29, 58, 116
1171, 3, 9, 13, 39, 117
1181, 2, 59, 118
1191, 7, 17, 119
1201, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1211, 11, 121
1221, 2, 61, 122
1231, 3, 41, 123
1241, 2, 4, 31, 62, 124
1251, 5, 25, 125
1261, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1271, 127
1281, 2, 4, 8, 16, 32, 64, 128
1291, 3, 43, 129
1301, 2, 5, 10, 13, 26, 65, 130
1311, 131
1321, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1331, 7, 19, 133
1341, 2, 67, 134

FAQ

What are the Factors of 120?

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

How many factors does 120 have?

Number 120 has 16 factors

How many Factor Pairs does 120 have?

Number 120 has 8 factor pairs

See Also