# Prime factorization of 408

Here you will see step by step solution of prime factorization of 408, how to find factors of 408, you will see all factors of 408, how many factors of 408 has? Factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408, we can see that 408 has 16 factor and sum of all factors is 1080.

• All Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
• Prime Factors of 408: 2 × 2 × 2 × 3 × 17
• Prime Factorization of 408: 23 × 31 × 171
• Sum of Factors of 408: 1080
• Is 408 prime number: No

### How to find factors of 408 by Division Method?

To find the factors of 408 by division method, we need the find the all numbers between 1 to 408, which divide 408 with 0 remainder, then the number is factor of 408.

### Pair factors of 408

• 408/1 = 408 [ 1 × 408 (1, 408) 1 and 408 is pair factor of 408]
• 408/2 = 204 [ 2 × 204 (2, 204) 2 and 204 is pair factor of 408]
• 408/3 = 136 [ 3 × 136 (3, 136) 3 and 136 is pair factor of 408]
• 408/4 = 102 [ 4 × 102 (4, 102) 4 and 102 is pair factor of 408]
• 408/6 = 68 [ 6 × 68 (6, 68) 6 and 68 is pair factor of 408]
• 408/8 = 51 [ 8 × 51 (8, 51) 8 and 51 is pair factor of 408]
• 408/12 = 34 [ 12 × 34 (12, 34) 12 and 34 is pair factor of 408]
• 408/17 = 24 [ 17 × 24 (17, 24) 17 and 24 is pair factor of 408]
• 408/24 = 17 [ 24 × 17 (24, 17) 24 and 17 is pair factor of 408]
• 408/34 = 12 [ 34 × 12 (34, 12) 34 and 12 is pair factor of 408]
• 408/51 = 8 [ 51 × 8 (51, 8) 51 and 8 is pair factor of 408]
• 408/68 = 6 [ 68 × 6 (68, 6) 68 and 6 is pair factor of 408]
• 408/102 = 4 [ 102 × 4 (102, 4) 102 and 4 is pair factor of 408]
• 408/136 = 3 [ 136 × 3 (136, 3) 136 and 3 is pair factor of 408]
• 408/204 = 2 [ 204 × 2 (204, 2) 204 and 2 is pair factor of 408]
• 408/408 = 1 [ 408 × 1 (408, 1) 408 and 1 is pair factor of 408]

As we checked numbers between 1 to 408 that are not leaving any remainder, hence we can say factors of 408 is 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408.

Also note that, in exponential form prime factorization of 408 is written as 23 × 31 × 171 and it is a composite number.

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