# Prime factorization of 512

Here you will see step by step solution of prime factorization of 512, how to find factors of 512, you will see all factors of 512, how many factors of 512 has? Factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, we can see that 512 has 10 factor and sum of all factors is 1023.

• All Factors of 512: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
• Prime Factors of 512: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
• Prime Factorization of 512: 29
• Sum of Factors of 512: 1023
• Is 512 prime number: No

### How to find factors of 512 by Division Method?

To find the factors of 512 by division method, we need the find the all numbers between 1 to 512, which divide 512 with 0 remainder, then the number is factor of 512.

### Pair factors of 512

• 512/1 = 512 [ 1 × 512 (1, 512) 1 and 512 is pair factor of 512]
• 512/2 = 256 [ 2 × 256 (2, 256) 2 and 256 is pair factor of 512]
• 512/4 = 128 [ 4 × 128 (4, 128) 4 and 128 is pair factor of 512]
• 512/8 = 64 [ 8 × 64 (8, 64) 8 and 64 is pair factor of 512]
• 512/16 = 32 [ 16 × 32 (16, 32) 16 and 32 is pair factor of 512]
• 512/32 = 16 [ 32 × 16 (32, 16) 32 and 16 is pair factor of 512]
• 512/64 = 8 [ 64 × 8 (64, 8) 64 and 8 is pair factor of 512]
• 512/128 = 4 [ 128 × 4 (128, 4) 128 and 4 is pair factor of 512]
• 512/256 = 2 [ 256 × 2 (256, 2) 256 and 2 is pair factor of 512]
• 512/512 = 1 [ 512 × 1 (512, 1) 512 and 1 is pair factor of 512]

As we checked numbers between 1 to 512 that are not leaving any remainder, hence we can say factors of 512 is 1, 2, 4, 8, 16, 32, 64, 128, 256, 512.

Also note that, in exponential form prime factorization of 512 is written as 29 and it is a composite number.

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