# Prime factorization of 168

Here you will see step by step solution of prime factorization of 168, how to find factors of 168, you will see all factors of 168, how many factors of 168 has? Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, we can see that 168 has 16 factor and sum of all factors is 480.

• All Factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
• Prime Factors of 168: 2 × 2 × 2 × 3 × 7
• Prime Factorization of 168: 23 × 31 × 71
• Sum of Factors of 168: 480
• Is 168 prime number: No

### How to find factors of 168 by Division Method?

To find the factors of 168 by division method, we need the find the all numbers between 1 to 168, which divide 168 with 0 remainder, then the number is factor of 168.

### Pair factors of 168

• 168/1 = 168 [ 1 × 168 (1, 168) 1 and 168 is pair factor of 168]
• 168/2 = 84 [ 2 × 84 (2, 84) 2 and 84 is pair factor of 168]
• 168/3 = 56 [ 3 × 56 (3, 56) 3 and 56 is pair factor of 168]
• 168/4 = 42 [ 4 × 42 (4, 42) 4 and 42 is pair factor of 168]
• 168/6 = 28 [ 6 × 28 (6, 28) 6 and 28 is pair factor of 168]
• 168/7 = 24 [ 7 × 24 (7, 24) 7 and 24 is pair factor of 168]
• 168/8 = 21 [ 8 × 21 (8, 21) 8 and 21 is pair factor of 168]
• 168/12 = 14 [ 12 × 14 (12, 14) 12 and 14 is pair factor of 168]
• 168/14 = 12 [ 14 × 12 (14, 12) 14 and 12 is pair factor of 168]
• 168/21 = 8 [ 21 × 8 (21, 8) 21 and 8 is pair factor of 168]
• 168/24 = 7 [ 24 × 7 (24, 7) 24 and 7 is pair factor of 168]
• 168/28 = 6 [ 28 × 6 (28, 6) 28 and 6 is pair factor of 168]
• 168/42 = 4 [ 42 × 4 (42, 4) 42 and 4 is pair factor of 168]
• 168/56 = 3 [ 56 × 3 (56, 3) 56 and 3 is pair factor of 168]
• 168/84 = 2 [ 84 × 2 (84, 2) 84 and 2 is pair factor of 168]
• 168/168 = 1 [ 168 × 1 (168, 1) 168 and 1 is pair factor of 168]

As we checked numbers between 1 to 168 that are not leaving any remainder, hence we can say factors of 168 is 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.

Also note that, in exponential form prime factorization of 168 is written as 23 × 31 × 71 and it is a composite number.

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