# Prime factorization of 704

Here you will see step by step solution of prime factorization of 704, how to find factors of 704, you will see all factors of 704, how many factors of 704 has? Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704, we can see that 704 has 14 factor and sum of all factors is 1524.

• All Factors of 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Prime Factors of 704: 2 × 2 × 2 × 2 × 2 × 2 × 11
• Prime Factorization of 704: 26 × 111
• Sum of Factors of 704: 1524
• Is 704 prime number: No

### How to find factors of 704 by Division Method?

To find the factors of 704 by division method, we need the find the all numbers between 1 to 704, which divide 704 with 0 remainder, then the number is factor of 704.

### Pair factors of 704

• 704/1 = 704 [ 1 × 704 (1, 704) 1 and 704 is pair factor of 704]
• 704/2 = 352 [ 2 × 352 (2, 352) 2 and 352 is pair factor of 704]
• 704/4 = 176 [ 4 × 176 (4, 176) 4 and 176 is pair factor of 704]
• 704/8 = 88 [ 8 × 88 (8, 88) 8 and 88 is pair factor of 704]
• 704/11 = 64 [ 11 × 64 (11, 64) 11 and 64 is pair factor of 704]
• 704/16 = 44 [ 16 × 44 (16, 44) 16 and 44 is pair factor of 704]
• 704/22 = 32 [ 22 × 32 (22, 32) 22 and 32 is pair factor of 704]
• 704/32 = 22 [ 32 × 22 (32, 22) 32 and 22 is pair factor of 704]
• 704/44 = 16 [ 44 × 16 (44, 16) 44 and 16 is pair factor of 704]
• 704/64 = 11 [ 64 × 11 (64, 11) 64 and 11 is pair factor of 704]
• 704/88 = 8 [ 88 × 8 (88, 8) 88 and 8 is pair factor of 704]
• 704/176 = 4 [ 176 × 4 (176, 4) 176 and 4 is pair factor of 704]
• 704/352 = 2 [ 352 × 2 (352, 2) 352 and 2 is pair factor of 704]
• 704/704 = 1 [ 704 × 1 (704, 1) 704 and 1 is pair factor of 704]

As we checked numbers between 1 to 704 that are not leaving any remainder, hence we can say factors of 704 is 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704.

Also note that, in exponential form prime factorization of 704 is written as 26 × 111 and it is a composite number.

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