# Prime factorization of 966

Here you will see step by step solution of prime factorization of 966, how to find factors of 966, you will see all factors of 966, how many factors of 966 has? Factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966, we can see that 966 has 16 factor and sum of all factors is 2304.

• All Factors of 966: 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
• Prime Factors of 966: 2 × 3 × 7 × 23
• Prime Factorization of 966: 21 × 31 × 71 × 231
• Sum of Factors of 966: 2304
• Is 966 prime number: No

### How to find factors of 966 by Division Method?

To find the factors of 966 by division method, we need the find the all numbers between 1 to 966, which divide 966 with 0 remainder, then the number is factor of 966.

### Pair factors of 966

• 966/1 = 966 [ 1 × 966 (1, 966) 1 and 966 is pair factor of 966]
• 966/2 = 483 [ 2 × 483 (2, 483) 2 and 483 is pair factor of 966]
• 966/3 = 322 [ 3 × 322 (3, 322) 3 and 322 is pair factor of 966]
• 966/6 = 161 [ 6 × 161 (6, 161) 6 and 161 is pair factor of 966]
• 966/7 = 138 [ 7 × 138 (7, 138) 7 and 138 is pair factor of 966]
• 966/14 = 69 [ 14 × 69 (14, 69) 14 and 69 is pair factor of 966]
• 966/21 = 46 [ 21 × 46 (21, 46) 21 and 46 is pair factor of 966]
• 966/23 = 42 [ 23 × 42 (23, 42) 23 and 42 is pair factor of 966]
• 966/42 = 23 [ 42 × 23 (42, 23) 42 and 23 is pair factor of 966]
• 966/46 = 21 [ 46 × 21 (46, 21) 46 and 21 is pair factor of 966]
• 966/69 = 14 [ 69 × 14 (69, 14) 69 and 14 is pair factor of 966]
• 966/138 = 7 [ 138 × 7 (138, 7) 138 and 7 is pair factor of 966]
• 966/161 = 6 [ 161 × 6 (161, 6) 161 and 6 is pair factor of 966]
• 966/322 = 3 [ 322 × 3 (322, 3) 322 and 3 is pair factor of 966]
• 966/483 = 2 [ 483 × 2 (483, 2) 483 and 2 is pair factor of 966]
• 966/966 = 1 [ 966 × 1 (966, 1) 966 and 1 is pair factor of 966]

As we checked numbers between 1 to 966 that are not leaving any remainder, hence we can say factors of 966 is 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966.

Also note that, in exponential form prime factorization of 966 is written as 21 × 31 × 71 × 231 and it is a composite number.

#### Prime Factorization Calculator

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