# Prime factorization of 336

Here you will see step by step solution of prime factorization of 336, how to find factors of 336, you will see all factors of 336, how many factors of 336 has? Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336, we can see that 336 has 20 factor and sum of all factors is 992.

• All Factors of 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
• Prime Factors of 336: 2 × 2 × 2 × 2 × 3 × 7
• Prime Factorization of 336: 24 × 31 × 71
• Sum of Factors of 336: 992
• Is 336 prime number: No

### How to find factors of 336 by Division Method?

To find the factors of 336 by division method, we need the find the all numbers between 1 to 336, which divide 336 with 0 remainder, then the number is factor of 336.

### Pair factors of 336

• 336/1 = 336 [ 1 × 336 (1, 336) 1 and 336 is pair factor of 336]
• 336/2 = 168 [ 2 × 168 (2, 168) 2 and 168 is pair factor of 336]
• 336/3 = 112 [ 3 × 112 (3, 112) 3 and 112 is pair factor of 336]
• 336/4 = 84 [ 4 × 84 (4, 84) 4 and 84 is pair factor of 336]
• 336/6 = 56 [ 6 × 56 (6, 56) 6 and 56 is pair factor of 336]
• 336/7 = 48 [ 7 × 48 (7, 48) 7 and 48 is pair factor of 336]
• 336/8 = 42 [ 8 × 42 (8, 42) 8 and 42 is pair factor of 336]
• 336/12 = 28 [ 12 × 28 (12, 28) 12 and 28 is pair factor of 336]
• 336/14 = 24 [ 14 × 24 (14, 24) 14 and 24 is pair factor of 336]
• 336/16 = 21 [ 16 × 21 (16, 21) 16 and 21 is pair factor of 336]
• 336/21 = 16 [ 21 × 16 (21, 16) 21 and 16 is pair factor of 336]
• 336/24 = 14 [ 24 × 14 (24, 14) 24 and 14 is pair factor of 336]
• 336/28 = 12 [ 28 × 12 (28, 12) 28 and 12 is pair factor of 336]
• 336/42 = 8 [ 42 × 8 (42, 8) 42 and 8 is pair factor of 336]
• 336/48 = 7 [ 48 × 7 (48, 7) 48 and 7 is pair factor of 336]
• 336/56 = 6 [ 56 × 6 (56, 6) 56 and 6 is pair factor of 336]
• 336/84 = 4 [ 84 × 4 (84, 4) 84 and 4 is pair factor of 336]
• 336/112 = 3 [ 112 × 3 (112, 3) 112 and 3 is pair factor of 336]
• 336/168 = 2 [ 168 × 2 (168, 2) 168 and 2 is pair factor of 336]
• 336/336 = 1 [ 336 × 1 (336, 1) 336 and 1 is pair factor of 336]

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

Also note that, in exponential form prime factorization of 336 is written as 24 × 31 × 71 and it is a composite number.

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