# Prime factorization of 56

Here you will see step by step solution of prime factorization of 56, how to find factors of 56, you will see all factors of 56, how many factors of 56 has? Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56, we can see that 56 has 8 factor and sum of all factors is 120.

• All Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
• Prime Factors of 56: 2 × 2 × 2 × 7
• Prime Factorization of 56: 23 × 71
• Sum of Factors of 56: 120
• Is 56 prime number: No

### How to find factors of 56 by Division Method?

To find the factors of 56 by division method, we need the find the all numbers between 1 to 56, which divide 56 with 0 remainder, then the number is factor of 56.

### Pair factors of 56

• 56/1 = 56 [ 1 × 56 (1, 56) 1 and 56 is pair factor of 56]
• 56/2 = 28 [ 2 × 28 (2, 28) 2 and 28 is pair factor of 56]
• 56/4 = 14 [ 4 × 14 (4, 14) 4 and 14 is pair factor of 56]
• 56/7 = 8 [ 7 × 8 (7, 8) 7 and 8 is pair factor of 56]
• 56/8 = 7 [ 8 × 7 (8, 7) 8 and 7 is pair factor of 56]
• 56/14 = 4 [ 14 × 4 (14, 4) 14 and 4 is pair factor of 56]
• 56/28 = 2 [ 28 × 2 (28, 2) 28 and 2 is pair factor of 56]
• 56/56 = 1 [ 56 × 1 (56, 1) 56 and 1 is pair factor of 56]

As we checked numbers between 1 to 56 that are not leaving any remainder, hence we can say factors of 56 is 1, 2, 4, 7, 8, 14, 28, 56.

Also note that, in exponential form prime factorization of 56 is written as 23 × 71 and it is a composite number.

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