Factors of 60

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Factors of

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.

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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 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

Factors of

Factors Table

NumberFactors
451, 3, 5, 9, 15, 45
461, 2, 23, 46
471, 47
481, 2, 3, 4, 6, 8, 12, 16, 24, 48
491, 7, 49
501, 2, 5, 10, 25, 50
511, 3, 17, 51
521, 2, 4, 13, 26, 52
531, 53
541, 2, 3, 6, 9, 18, 27, 54
551, 5, 11, 55
561, 2, 4, 7, 8, 14, 28, 56
571, 3, 19, 57
581, 2, 29, 58
591, 59
601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
611, 61
621, 2, 31, 62
631, 3, 7, 9, 21, 63
641, 2, 4, 8, 16, 32, 64
651, 5, 13, 65
661, 2, 3, 6, 11, 22, 33, 66
671, 67
681, 2, 4, 17, 34, 68
691, 3, 23, 69
701, 2, 5, 7, 10, 14, 35, 70
711, 71
721, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
731, 73
741, 2, 37, 74

FAQ

What are the Factors of 60?

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

How many factors does 60 have?

Number 60 has 12 factors

How many Factor Pairs does 60 have?

Number 60 has 6 factor pairs

See Also