# Prime factorization of 384

Here you will see step by step solution of prime factorization of 384, how to find factors of 384, you will see all factors of 384, how many factors of 384 has? Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, we can see that 384 has 16 factor and sum of all factors is 1020.

• All Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
• Prime Factors of 384: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
• Prime Factorization of 384: 27 × 31
• Sum of Factors of 384: 1020
• Is 384 prime number: No

### How to find factors of 384 by Division Method?

To find the factors of 384 by division method, we need the find the all numbers between 1 to 384, which divide 384 with 0 remainder, then the number is factor of 384.

### Pair factors of 384

• 384/1 = 384 [ 1 × 384 (1, 384) 1 and 384 is pair factor of 384]
• 384/2 = 192 [ 2 × 192 (2, 192) 2 and 192 is pair factor of 384]
• 384/3 = 128 [ 3 × 128 (3, 128) 3 and 128 is pair factor of 384]
• 384/4 = 96 [ 4 × 96 (4, 96) 4 and 96 is pair factor of 384]
• 384/6 = 64 [ 6 × 64 (6, 64) 6 and 64 is pair factor of 384]
• 384/8 = 48 [ 8 × 48 (8, 48) 8 and 48 is pair factor of 384]
• 384/12 = 32 [ 12 × 32 (12, 32) 12 and 32 is pair factor of 384]
• 384/16 = 24 [ 16 × 24 (16, 24) 16 and 24 is pair factor of 384]
• 384/24 = 16 [ 24 × 16 (24, 16) 24 and 16 is pair factor of 384]
• 384/32 = 12 [ 32 × 12 (32, 12) 32 and 12 is pair factor of 384]
• 384/48 = 8 [ 48 × 8 (48, 8) 48 and 8 is pair factor of 384]
• 384/64 = 6 [ 64 × 6 (64, 6) 64 and 6 is pair factor of 384]
• 384/96 = 4 [ 96 × 4 (96, 4) 96 and 4 is pair factor of 384]
• 384/128 = 3 [ 128 × 3 (128, 3) 128 and 3 is pair factor of 384]
• 384/192 = 2 [ 192 × 2 (192, 2) 192 and 2 is pair factor of 384]
• 384/384 = 1 [ 384 × 1 (384, 1) 384 and 1 is pair factor of 384]

As we checked numbers between 1 to 384 that are not leaving any remainder, hence we can say factors of 384 is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384.

Also note that, in exponential form prime factorization of 384 is written as 27 × 31 and it is a composite number.

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