# Prime factorization of 112

Here you will see step by step solution of prime factorization of 112, how to find factors of 112, you will see all factors of 112, how many factors of 112 has? Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, we can see that 112 has 10 factor and sum of all factors is 248.

• All Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
• Prime Factors of 112: 2 × 2 × 2 × 2 × 7
• Prime Factorization of 112: 24 × 71
• Sum of Factors of 112: 248
• Is 112 prime number: No

### How to find factors of 112 by Division Method?

To find the factors of 112 by division method, we need the find the all numbers between 1 to 112, which divide 112 with 0 remainder, then the number is factor of 112.

### Pair factors of 112

• 112/1 = 112 [ 1 × 112 (1, 112) 1 and 112 is pair factor of 112]
• 112/2 = 56 [ 2 × 56 (2, 56) 2 and 56 is pair factor of 112]
• 112/4 = 28 [ 4 × 28 (4, 28) 4 and 28 is pair factor of 112]
• 112/7 = 16 [ 7 × 16 (7, 16) 7 and 16 is pair factor of 112]
• 112/8 = 14 [ 8 × 14 (8, 14) 8 and 14 is pair factor of 112]
• 112/14 = 8 [ 14 × 8 (14, 8) 14 and 8 is pair factor of 112]
• 112/16 = 7 [ 16 × 7 (16, 7) 16 and 7 is pair factor of 112]
• 112/28 = 4 [ 28 × 4 (28, 4) 28 and 4 is pair factor of 112]
• 112/56 = 2 [ 56 × 2 (56, 2) 56 and 2 is pair factor of 112]
• 112/112 = 1 [ 112 × 1 (112, 1) 112 and 1 is pair factor of 112]

As we checked numbers between 1 to 112 that are not leaving any remainder, hence we can say factors of 112 is 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.

Also note that, in exponential form prime factorization of 112 is written as 24 × 71 and it is a composite number.

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