# Prime factorization of 992

Here you will see step by step solution of prime factorization of 992, how to find factors of 992, you will see all factors of 992, how many factors of 992 has? Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992, we can see that 992 has 12 factor and sum of all factors is 2016.

• All Factors of 992: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
• Prime Factors of 992: 2 × 2 × 2 × 2 × 2 × 31
• Prime Factorization of 992: 25 × 311
• Sum of Factors of 992: 2016
• Is 992 prime number: No

### How to find factors of 992 by Division Method?

To find the factors of 992 by division method, we need the find the all numbers between 1 to 992, which divide 992 with 0 remainder, then the number is factor of 992.

### Pair factors of 992

• 992/1 = 992 [ 1 × 992 (1, 992) 1 and 992 is pair factor of 992]
• 992/2 = 496 [ 2 × 496 (2, 496) 2 and 496 is pair factor of 992]
• 992/4 = 248 [ 4 × 248 (4, 248) 4 and 248 is pair factor of 992]
• 992/8 = 124 [ 8 × 124 (8, 124) 8 and 124 is pair factor of 992]
• 992/16 = 62 [ 16 × 62 (16, 62) 16 and 62 is pair factor of 992]
• 992/31 = 32 [ 31 × 32 (31, 32) 31 and 32 is pair factor of 992]
• 992/32 = 31 [ 32 × 31 (32, 31) 32 and 31 is pair factor of 992]
• 992/62 = 16 [ 62 × 16 (62, 16) 62 and 16 is pair factor of 992]
• 992/124 = 8 [ 124 × 8 (124, 8) 124 and 8 is pair factor of 992]
• 992/248 = 4 [ 248 × 4 (248, 4) 248 and 4 is pair factor of 992]
• 992/496 = 2 [ 496 × 2 (496, 2) 496 and 2 is pair factor of 992]
• 992/992 = 1 [ 992 × 1 (992, 1) 992 and 1 is pair factor of 992]

As we checked numbers between 1 to 992 that are not leaving any remainder, hence we can say factors of 992 is 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992.

Also note that, in exponential form prime factorization of 992 is written as 25 × 311 and it is a composite number.

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