Factors of 96

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What are the Factors of 96?

Answer

Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

(number 96 has 12 factors)

Factor Pairs of 96

A Factor Pair of number 96 is a combination of two factors which can be multiplied together to equal 96.

List of all possible Factor Pairs of 96:

  • 1 × 96 = 96
  • 2 × 48 = 96
  • 3 × 32 = 96
  • 4 × 24 = 96
  • 6 × 16 = 96
  • 8 × 12 = 96

How to find the Factors of 96

Divide 96 by every whole number from 1 up to 9. Each division without a remainder gives a factor and its pair. There is no point going further: 10 × 10 = 100 is already greater than 96, so any larger divisor would pair with a smaller one you have already checked.

  • 96 ÷ 1 = 96 — factors 1 and 96
  • 96 ÷ 2 = 48 — factors 2 and 48
  • 96 ÷ 3 = 32 — factors 3 and 32
  • 96 ÷ 4 = 24 — factors 4 and 24
  • 96 ÷ 5 — remainder 1, not a factor
  • 96 ÷ 6 = 16 — factors 6 and 16
  • 96 ÷ 7 — remainder 5, not a factor
  • 96 ÷ 8 = 12 — factors 8 and 12
  • 96 ÷ 9 — remainder 6, not a factor

Why 96 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.

96 = 25 × 3

(5 + 1) × (1 + 1) = 12

Step-by-step factorization: Prime factors of 96.

See Also

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 96? (The answer is: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96). Pick the number (e.g. '96'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
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Factors of

Factors Table

NumberFactors
811, 3, 9, 27, 81
821, 2, 41, 82
831, 83
841, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
851, 5, 17, 85
861, 2, 43, 86
871, 3, 29, 87
881, 2, 4, 8, 11, 22, 44, 88
891, 89
901, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
911, 7, 13, 91
921, 2, 4, 23, 46, 92
931, 3, 31, 93
941, 2, 47, 94
951, 5, 19, 95
961, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
971, 97
981, 2, 7, 14, 49, 98
991, 3, 9, 11, 33, 99
1001, 2, 4, 5, 10, 20, 25, 50, 100
1011, 101
1021, 2, 3, 6, 17, 34, 51, 102
1031, 103
1041, 2, 4, 8, 13, 26, 52, 104
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

FAQ

What are the Factors of 96?

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

How many factors does 96 have?

Number 96 has 12 factors

How many Factor Pairs does 96 have?

Number 96 has 6 factor pairs