Math

Factors Calculator

List every factor of a number, its factor pairs and how many factors it has.

Rules last checked 25 October 2026Every step shown

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Factors of 36

1, 2, 3, 4, 6, 9, 12, 18, 36

How many
9
Sum of the factors
91
Factor pairs
1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6

36 has 9 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36.

How it's worked out

  1. Pair up divisorstest every number up to √36 = 69 factors

How it works

Factors come in pairs that multiply to the number, so it's enough to test up to the square root. They can also be built from the prime factorization.

Worked example

36 = 2² × 3², so it has (2 + 1) × (2 + 1) = 9 factors, which add up to 91.

Questions people ask

What are the factors of 36?

1, 2, 3, 4, 6, 9, 12, 18 and 36: nine factors in five pairs (1 × 36, 2 × 18, 3 × 12, 4 × 9 and 6 × 6).

What's the difference between factors and prime factors?

Factors are all the numbers that divide exactly. Prime factors are only the primes that multiply to make it: 36 = 2² × 3².

Which numbers have an odd number of factors?

Only perfect squares, because one factor pairs with itself, like 6 × 6 for 36.

About this calculator

Formula and rules last checked 25 October 2026Written and tested by the CalculatorDex teamReport a problem