Factors of 36
There are 9 factors of 36 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 36
1, 2, 3, 4, 6, 9, 12, 18, 36
Factor pairs of 36
- 1 × 36
- 2 × 18
- 3 × 12
- 4 × 9
- 6 × 6
Prime factorization of 36
36 = 2² × 3²
Number facts
- 36 is a composite number.
- 36 has 9 factors.
- 36 is a perfect square.
- The sum of all factors of 36 is 91.
Divisibility rules that apply to 36
- 36 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 36 is divisible by 3 because the sum of its digits (9) is divisible by 3.
- 36 is divisible by 9 because the sum of its digits (9) is divisible by 9.
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How the factors of 36 are calculated
To find the factors of 36, every whole number from 1 up to the square root of 36(about 6.00) is tested for even division. 36 is even, and it divides evenly by 2, 3, 4, 6, among others. Written as a product of primes, 36 = 2² × 3², which confirms every factor above is a combination of those prime building blocks. 36 is also a perfect square, which is why one of its factor pairs is a number multiplied by itself.
Frequently asked questions about 36
How many factors does 36 have?
36 has 9 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Is 36 a prime number?
No. 36 is composite because it has factors other than 1 and itself.
What are the factor pairs of 36?
The factor pairs of 36 are 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6.
What is the prime factorization of 36?
The prime factorization of 36 is 2² × 3².