# Prime factorization of 1002

Here you will see step by step solution of prime factorization of 1002, how to find factors of 1002, you will see all factors of 1002, how many factors of 1002 has? Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002, we can see that 1002 has 8 factor and sum of all factors is 2016.

• All Factors of 1002: 1, 2, 3, 6, 167, 334, 501, 1002
• Prime Factors of 1002: 2 × 3 × 167
• Prime Factorization of 1002: 21 × 31 × 1671
• Sum of Factors of 1002: 2016
• Is 1002 prime number: No

### How to find factors of 1002 by Division Method?

To find the factors of 1002 by division method, we need the find the all numbers between 1 to 1002, which divide 1002 with 0 remainder, then the number is factor of 1002.

### Pair factors of 1002

• 1002/1 = 1002 [ 1 × 1002 (1, 1002) 1 and 1002 is pair factor of 1002]
• 1002/2 = 501 [ 2 × 501 (2, 501) 2 and 501 is pair factor of 1002]
• 1002/3 = 334 [ 3 × 334 (3, 334) 3 and 334 is pair factor of 1002]
• 1002/6 = 167 [ 6 × 167 (6, 167) 6 and 167 is pair factor of 1002]
• 1002/167 = 6 [ 167 × 6 (167, 6) 167 and 6 is pair factor of 1002]
• 1002/334 = 3 [ 334 × 3 (334, 3) 334 and 3 is pair factor of 1002]
• 1002/501 = 2 [ 501 × 2 (501, 2) 501 and 2 is pair factor of 1002]
• 1002/1002 = 1 [ 1002 × 1 (1002, 1) 1002 and 1 is pair factor of 1002]

As we checked numbers between 1 to 1002 that are not leaving any remainder, hence we can say factors of 1002 is 1, 2, 3, 6, 167, 334, 501, 1002.

Also note that, in exponential form prime factorization of 1002 is written as 21 × 31 × 1671 and it is a composite number.

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