Factors of 52
There are 6 factors of 52 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 52
1, 2, 4, 13, 26, 52
Factor pairs of 52
- 1 × 52
- 2 × 26
- 4 × 13
Prime factorization of 52
52 = 2² × 13
Number facts
- 52 is a composite number.
- 52 has 6 factors.
- 52 is not a perfect square.
- The sum of all factors of 52 is 98.
Divisibility rules that apply to 52
- 52 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
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How the factors of 52 are calculated
To find the factors of 52, every whole number from 1 up to the square root of 52(about 7.21) is tested for even division. 52 is even, and it divides evenly by 2, 4, 13, 26. Written as a product of primes, 52 = 2² × 13, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 52
How many factors does 52 have?
52 has 6 factors: 1, 2, 4, 13, 26, 52.
Is 52 a prime number?
No. 52 is composite because it has factors other than 1 and itself.
What are the factor pairs of 52?
The factor pairs of 52 are 1 × 52, 2 × 26, 4 × 13.
What is the prime factorization of 52?
The prime factorization of 52 is 2² × 13.