# Prime factorization of 736

Here you will see step by step solution of prime factorization of 736, how to find factors of 736, you will see all factors of 736, how many factors of 736 has? Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736, we can see that 736 has 12 factor and sum of all factors is 1512.

• All Factors of 736: 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
• Prime Factors of 736: 2 × 2 × 2 × 2 × 2 × 23
• Prime Factorization of 736: 25 × 231
• Sum of Factors of 736: 1512
• Is 736 prime number: No

### How to find factors of 736 by Division Method?

To find the factors of 736 by division method, we need the find the all numbers between 1 to 736, which divide 736 with 0 remainder, then the number is factor of 736.

### Pair factors of 736

• 736/1 = 736 [ 1 × 736 (1, 736) 1 and 736 is pair factor of 736]
• 736/2 = 368 [ 2 × 368 (2, 368) 2 and 368 is pair factor of 736]
• 736/4 = 184 [ 4 × 184 (4, 184) 4 and 184 is pair factor of 736]
• 736/8 = 92 [ 8 × 92 (8, 92) 8 and 92 is pair factor of 736]
• 736/16 = 46 [ 16 × 46 (16, 46) 16 and 46 is pair factor of 736]
• 736/23 = 32 [ 23 × 32 (23, 32) 23 and 32 is pair factor of 736]
• 736/32 = 23 [ 32 × 23 (32, 23) 32 and 23 is pair factor of 736]
• 736/46 = 16 [ 46 × 16 (46, 16) 46 and 16 is pair factor of 736]
• 736/92 = 8 [ 92 × 8 (92, 8) 92 and 8 is pair factor of 736]
• 736/184 = 4 [ 184 × 4 (184, 4) 184 and 4 is pair factor of 736]
• 736/368 = 2 [ 368 × 2 (368, 2) 368 and 2 is pair factor of 736]
• 736/736 = 1 [ 736 × 1 (736, 1) 736 and 1 is pair factor of 736]

As we checked numbers between 1 to 736 that are not leaving any remainder, hence we can say factors of 736 is 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736.

Also note that, in exponential form prime factorization of 736 is written as 25 × 231 and it is a composite number.

#### Prime Factorization Calculator

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