# Prime factorization of 1008

Here you will see step by step solution of prime factorization of 1008, how to find factors of 1008, you will see all factors of 1008, how many factors of 1008 has? Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008, we can see that 1008 has 30 factor and sum of all factors is 3224.

• All Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
• Prime Factors of 1008: 2 × 2 × 2 × 2 × 3 × 3 × 7
• Prime Factorization of 1008: 24 × 32 × 71
• Sum of Factors of 1008: 3224
• Is 1008 prime number: No

### How to find factors of 1008 by Division Method?

To find the factors of 1008 by division method, we need the find the all numbers between 1 to 1008, which divide 1008 with 0 remainder, then the number is factor of 1008.

### Pair factors of 1008

• 1008/1 = 1008 [ 1 × 1008 (1, 1008) 1 and 1008 is pair factor of 1008]
• 1008/2 = 504 [ 2 × 504 (2, 504) 2 and 504 is pair factor of 1008]
• 1008/3 = 336 [ 3 × 336 (3, 336) 3 and 336 is pair factor of 1008]
• 1008/4 = 252 [ 4 × 252 (4, 252) 4 and 252 is pair factor of 1008]
• 1008/6 = 168 [ 6 × 168 (6, 168) 6 and 168 is pair factor of 1008]
• 1008/7 = 144 [ 7 × 144 (7, 144) 7 and 144 is pair factor of 1008]
• 1008/8 = 126 [ 8 × 126 (8, 126) 8 and 126 is pair factor of 1008]
• 1008/9 = 112 [ 9 × 112 (9, 112) 9 and 112 is pair factor of 1008]
• 1008/12 = 84 [ 12 × 84 (12, 84) 12 and 84 is pair factor of 1008]
• 1008/14 = 72 [ 14 × 72 (14, 72) 14 and 72 is pair factor of 1008]
• 1008/16 = 63 [ 16 × 63 (16, 63) 16 and 63 is pair factor of 1008]
• 1008/18 = 56 [ 18 × 56 (18, 56) 18 and 56 is pair factor of 1008]
• 1008/21 = 48 [ 21 × 48 (21, 48) 21 and 48 is pair factor of 1008]
• 1008/24 = 42 [ 24 × 42 (24, 42) 24 and 42 is pair factor of 1008]
• 1008/28 = 36 [ 28 × 36 (28, 36) 28 and 36 is pair factor of 1008]
• 1008/36 = 28 [ 36 × 28 (36, 28) 36 and 28 is pair factor of 1008]
• 1008/42 = 24 [ 42 × 24 (42, 24) 42 and 24 is pair factor of 1008]
• 1008/48 = 21 [ 48 × 21 (48, 21) 48 and 21 is pair factor of 1008]
• 1008/56 = 18 [ 56 × 18 (56, 18) 56 and 18 is pair factor of 1008]
• 1008/63 = 16 [ 63 × 16 (63, 16) 63 and 16 is pair factor of 1008]
• 1008/72 = 14 [ 72 × 14 (72, 14) 72 and 14 is pair factor of 1008]
• 1008/84 = 12 [ 84 × 12 (84, 12) 84 and 12 is pair factor of 1008]
• 1008/112 = 9 [ 112 × 9 (112, 9) 112 and 9 is pair factor of 1008]
• 1008/126 = 8 [ 126 × 8 (126, 8) 126 and 8 is pair factor of 1008]
• 1008/144 = 7 [ 144 × 7 (144, 7) 144 and 7 is pair factor of 1008]
• 1008/168 = 6 [ 168 × 6 (168, 6) 168 and 6 is pair factor of 1008]
• 1008/252 = 4 [ 252 × 4 (252, 4) 252 and 4 is pair factor of 1008]
• 1008/336 = 3 [ 336 × 3 (336, 3) 336 and 3 is pair factor of 1008]
• 1008/504 = 2 [ 504 × 2 (504, 2) 504 and 2 is pair factor of 1008]
• 1008/1008 = 1 [ 1008 × 1 (1008, 1) 1008 and 1 is pair factor of 1008]

As we checked numbers between 1 to 1008 that are not leaving any remainder, hence we can say factors of 1008 is 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.

Also note that, in exponential form prime factorization of 1008 is written as 24 × 32 × 71 and it is a composite number.

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