Factor Calculator

Factors of 63

The factors of 63 are 1, 3, 7, 9, 21, and 63. In total, 63 has 6 factors. Its prime factorization is 3² × 7, and the sum of all its factors is 104.

All factors of 63

Here are all 6 factors of 63, listed from smallest to largest.

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Factor pairs of 63

These 3 pairs of whole numbers each multiply to give 63.

1 × 63 = 63
3 × 21 = 63
7 × 9 = 63

Prime factorization of 63

Dividing 63 by the smallest prime at each step gives its prime factorization:

63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Result: 63 = 3 × 3 × 7 = 3² × 7

The distinct prime factors of 63 are 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 63

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 636332137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 63

Number of factors6
Sum of factors104
Sum of proper factors41
Prime factorization3² × 7
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 63 interesting

  • 63 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 63 is a deficient number: its proper factors sum to 41, which is 22 less than 63 itself.

How to find the factors of 63 yourself

Divide 63 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √637.94, because every factor above that pairs with one below it.

63 ÷ 1 = 63
63 ÷ 3 = 21
63 ÷ 7 = 9

Reading both columns gives every factor: 1, 3, 7, 9, 21, 63. The factor calculator does this automatically for any number.

Frequently asked questions about 63

What are the factors of 63?

The factors of 63 are 1, 3, 7, 9, 21, and 63. That is 6 factors in total, counting both 1 and 63.

Is 63 a prime number?

No, 63 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 63 is also divisible by 3.

What is the prime factorization of 63?

The prime factorization of 63 is 3² × 7. Written out in full: 3 × 3 × 7 = 63. Its distinct prime factors are 3, 7.

What two numbers multiply to give 63?

There are 3 pairs of whole numbers that multiply to 63: 1 × 63, 3 × 21, 7 × 9.

What is the sum of the factors of 63?

Adding all the factors of 63 together gives 104. Excluding 63 itself, the proper factors sum to 41.

Is 63 a perfect square?

No, 63 is not a perfect square. There is no whole number that multiplies by itself to give 63. The nearest perfect squares are 49 and 64.

What is the largest factor of 63 other than itself?

The largest factor of 63 apart from 63 itself is 21, since 63 ÷ 21 = 3.

How many factors does 63 have?

63 has 6 factors: 1, 3, 7, 9, 21, and 63. You can verify this from the prime factorization 3² × 7: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 63 down further with the prime factorization calculator, or compare 63 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.