Factors of 88

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What are the Factors of 88?

Answer

Factors of 88:
1, 2, 4, 8, 11, 22, 44, 88

(number 88 has 8 factors)

Factor Pairs of 88

A Factor Pair of number 88 is a combination of two factors which can be multiplied together to equal 88.

List of all possible Factor Pairs of 88:

  • 1 × 88 = 88
  • 2 × 44 = 88
  • 4 × 22 = 88
  • 8 × 11 = 88

How to find the Factors of 88

Divide 88 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 88, so any larger divisor would pair with a smaller one you have already checked.

  • 88 ÷ 1 = 88 — factors 1 and 88
  • 88 ÷ 2 = 44 — factors 2 and 44
  • 88 ÷ 3 — remainder 1, not a factor
  • 88 ÷ 4 = 22 — factors 4 and 22
  • 88 ÷ 5 — remainder 3, not a factor
  • 88 ÷ 6 — remainder 4, not a factor
  • 88 ÷ 7 — remainder 4, not a factor
  • 88 ÷ 8 = 11 — factors 8 and 11
  • 88 ÷ 9 — remainder 7, not a factor

Why 88 has exactly 8 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.

88 = 23 × 11

(3 + 1) × (1 + 1) = 8

Step-by-step factorization: Prime factors of 88.

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 88? (The answer is: 1, 2, 4, 8, 11, 22, 44, 88). Pick the number (e.g. '88'). 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
731, 73
741, 2, 37, 74
751, 3, 5, 15, 25, 75
761, 2, 4, 19, 38, 76
771, 7, 11, 77
781, 2, 3, 6, 13, 26, 39, 78
791, 79
801, 2, 4, 5, 8, 10, 16, 20, 40, 80
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

FAQ

What are the Factors of 88?

Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

How many factors does 88 have?

Number 88 has 8 factors

How many Factor Pairs does 88 have?

Number 88 has 4 factor pairs