# Prime factorization of 784

Here you will see step by step solution of prime factorization of 784, how to find factors of 784, you will see all factors of 784, how many factors of 784 has? Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784, we can see that 784 has 15 factor and sum of all factors is 1767.

• All Factors of 784: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
• Prime Factors of 784: 2 × 2 × 2 × 2 × 7 × 7
• Prime Factorization of 784: 24 × 72
• Sum of Factors of 784: 1767
• Is 784 prime number: No

### How to find factors of 784 by Division Method?

To find the factors of 784 by division method, we need the find the all numbers between 1 to 784, which divide 784 with 0 remainder, then the number is factor of 784.

### Pair factors of 784

• 784/1 = 784 [ 1 × 784 (1, 784) 1 and 784 is pair factor of 784]
• 784/2 = 392 [ 2 × 392 (2, 392) 2 and 392 is pair factor of 784]
• 784/4 = 196 [ 4 × 196 (4, 196) 4 and 196 is pair factor of 784]
• 784/7 = 112 [ 7 × 112 (7, 112) 7 and 112 is pair factor of 784]
• 784/8 = 98 [ 8 × 98 (8, 98) 8 and 98 is pair factor of 784]
• 784/14 = 56 [ 14 × 56 (14, 56) 14 and 56 is pair factor of 784]
• 784/16 = 49 [ 16 × 49 (16, 49) 16 and 49 is pair factor of 784]
• 784/28 = 28 [ 28 × 28 (28, 28) 28 and 28 is pair factor of 784]
• 784/49 = 16 [ 49 × 16 (49, 16) 49 and 16 is pair factor of 784]
• 784/56 = 14 [ 56 × 14 (56, 14) 56 and 14 is pair factor of 784]
• 784/98 = 8 [ 98 × 8 (98, 8) 98 and 8 is pair factor of 784]
• 784/112 = 7 [ 112 × 7 (112, 7) 112 and 7 is pair factor of 784]
• 784/196 = 4 [ 196 × 4 (196, 4) 196 and 4 is pair factor of 784]
• 784/392 = 2 [ 392 × 2 (392, 2) 392 and 2 is pair factor of 784]
• 784/784 = 1 [ 784 × 1 (784, 1) 784 and 1 is pair factor of 784]

As we checked numbers between 1 to 784 that are not leaving any remainder, hence we can say factors of 784 is 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784.

Also note that, in exponential form prime factorization of 784 is written as 24 × 72 and it is a composite number.

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