Factors of 77

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What are the Factors of 77?

Answer

Factors of 77:
1, 7, 11, 77

(number 77 has 4 factors)

Factor Pairs of 77

A Factor Pair of number 77 is a combination of two factors which can be multiplied together to equal 77.

List of all possible Factor Pairs of 77:

  • 1 × 77 = 77
  • 7 × 11 = 77

How to find the Factors of 77

Divide 77 by every whole number from 1 up to 8. Each division without a remainder gives a factor and its pair. There is no point going further: 9 × 9 = 81 is already greater than 77, so any larger divisor would pair with a smaller one you have already checked.

  • 77 ÷ 1 = 77 — factors 1 and 77
  • 77 ÷ 2 — remainder 1, not a factor
  • 77 ÷ 3 — remainder 2, not a factor
  • 77 ÷ 4 — remainder 1, not a factor
  • 77 ÷ 5 — remainder 2, not a factor
  • 77 ÷ 6 — remainder 5, not a factor
  • 77 ÷ 7 = 11 — factors 7 and 11
  • 77 ÷ 8 — remainder 5, not a factor

Why 77 has exactly 4 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.

77 = 7 × 11

(1 + 1) × (1 + 1) = 4

Step-by-step factorization: Prime factors of 77.

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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 77? (The answer is: 1, 7, 11, 77). Pick the number (e.g. '77'). 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
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
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

FAQ

What are the Factors of 77?

Factors of 77: 1, 7, 11, 77

How many factors does 77 have?

Number 77 has 4 factors

How many Factor Pairs does 77 have?

Number 77 has 2 factor pairs

See Also