Factors of 56
There are 8 factors of 56 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 56
1, 2, 4, 7, 8, 14, 28, 56
Factor pairs of 56
- 1 × 56
- 2 × 28
- 4 × 14
- 7 × 8
Prime factorization of 56
56 = 2³ × 7
Number facts
- 56 is a composite number.
- 56 has 8 factors.
- 56 is not a perfect square.
- The sum of all factors of 56 is 120.
Divisibility rules that apply to 56
- 56 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 56 are calculated
To find the factors of 56, every whole number from 1 up to the square root of 56(about 7.48) is tested for even division. 56 is even, and it divides evenly by 2, 4, 7, 8, among others. Written as a product of primes, 56 = 2³ × 7, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 56
How many factors does 56 have?
56 has 8 factors: 1, 2, 4, 7, 8, 14, 28, 56.
Is 56 a prime number?
No. 56 is composite because it has factors other than 1 and itself.
What are the factor pairs of 56?
The factor pairs of 56 are 1 × 56, 2 × 28, 4 × 14, 7 × 8.
What is the prime factorization of 56?
The prime factorization of 56 is 2³ × 7.