Factors of 63

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Factors of

What are the Factors of 63?

Answer

Factors of 63:
1, 3, 7, 9, 21, 63

(number 63 has 6 factors)

Factor Pairs of 63

A Factor Pair of number 63 is a combination of two factors which can be multiplied together to equal 63.

List of all possible Factor Pairs of 63:

  • 1 × 63 = 63
  • 3 × 21 = 63
  • 7 × 9 = 63

How to find the Factors of 63

Divide 63 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 63, so any larger divisor would pair with a smaller one you have already checked.

  • 63 ÷ 1 = 63 — factors 1 and 63
  • 63 ÷ 2 — remainder 1, not a factor
  • 63 ÷ 3 = 21 — factors 3 and 21
  • 63 ÷ 4 — remainder 3, not a factor
  • 63 ÷ 5 — remainder 3, not a factor
  • 63 ÷ 6 — remainder 3, not a factor
  • 63 ÷ 7 = 9 — factors 7 and 9

Why 63 has exactly 6 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.

63 = 32 × 7

(2 + 1) × (1 + 1) = 6

Step-by-step factorization: Prime factors of 63.

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 63? (The answer is: 1, 3, 7, 9, 21, 63). Pick the number (e.g. '63'). 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
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
751, 3, 5, 15, 25, 75
761, 2, 4, 19, 38, 76
771, 7, 11, 77

FAQ

What are the Factors of 63?

Factors of 63: 1, 3, 7, 9, 21, 63

How many factors does 63 have?

Number 63 has 6 factors

How many Factor Pairs does 63 have?

Number 63 has 3 factor pairs