# Prime factorization of 462

Here you will see step by step solution of prime factorization of 462, how to find factors of 462, you will see all factors of 462, how many factors of 462 has? Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462, we can see that 462 has 16 factor and sum of all factors is 1152.

• All Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
• Prime Factors of 462: 2 × 3 × 7 × 11
• Prime Factorization of 462: 21 × 31 × 71 × 111
• Sum of Factors of 462: 1152
• Is 462 prime number: No

### How to find factors of 462 by Division Method?

To find the factors of 462 by division method, we need the find the all numbers between 1 to 462, which divide 462 with 0 remainder, then the number is factor of 462.

### Pair factors of 462

• 462/1 = 462 [ 1 × 462 (1, 462) 1 and 462 is pair factor of 462]
• 462/2 = 231 [ 2 × 231 (2, 231) 2 and 231 is pair factor of 462]
• 462/3 = 154 [ 3 × 154 (3, 154) 3 and 154 is pair factor of 462]
• 462/6 = 77 [ 6 × 77 (6, 77) 6 and 77 is pair factor of 462]
• 462/7 = 66 [ 7 × 66 (7, 66) 7 and 66 is pair factor of 462]
• 462/11 = 42 [ 11 × 42 (11, 42) 11 and 42 is pair factor of 462]
• 462/14 = 33 [ 14 × 33 (14, 33) 14 and 33 is pair factor of 462]
• 462/21 = 22 [ 21 × 22 (21, 22) 21 and 22 is pair factor of 462]
• 462/22 = 21 [ 22 × 21 (22, 21) 22 and 21 is pair factor of 462]
• 462/33 = 14 [ 33 × 14 (33, 14) 33 and 14 is pair factor of 462]
• 462/42 = 11 [ 42 × 11 (42, 11) 42 and 11 is pair factor of 462]
• 462/66 = 7 [ 66 × 7 (66, 7) 66 and 7 is pair factor of 462]
• 462/77 = 6 [ 77 × 6 (77, 6) 77 and 6 is pair factor of 462]
• 462/154 = 3 [ 154 × 3 (154, 3) 154 and 3 is pair factor of 462]
• 462/231 = 2 [ 231 × 2 (231, 2) 231 and 2 is pair factor of 462]
• 462/462 = 1 [ 462 × 1 (462, 1) 462 and 1 is pair factor of 462]

As we checked numbers between 1 to 462 that are not leaving any remainder, hence we can say factors of 462 is 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462.

Also note that, in exponential form prime factorization of 462 is written as 21 × 31 × 71 × 111 and it is a composite number.

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