# Prime factorization of 1006

Here you will see step by step solution of prime factorization of 1006, how to find factors of 1006, you will see all factors of 1006, how many factors of 1006 has? Factors of 1006 are 1, 2, 503, 1006, we can see that 1006 has 4 factor and sum of all factors is 1512.

• All Factors of 1006: 1, 2, 503, 1006
• Prime Factors of 1006: 2 × 503
• Prime Factorization of 1006: 21 × 5031
• Sum of Factors of 1006: 1512
• Is 1006 prime number: No

### How to find factors of 1006 by Division Method?

To find the factors of 1006 by division method, we need the find the all numbers between 1 to 1006, which divide 1006 with 0 remainder, then the number is factor of 1006.

### Pair factors of 1006

• 1006/1 = 1006 [ 1 × 1006 (1, 1006) 1 and 1006 is pair factor of 1006]
• 1006/2 = 503 [ 2 × 503 (2, 503) 2 and 503 is pair factor of 1006]
• 1006/503 = 2 [ 503 × 2 (503, 2) 503 and 2 is pair factor of 1006]
• 1006/1006 = 1 [ 1006 × 1 (1006, 1) 1006 and 1 is pair factor of 1006]

As we checked numbers between 1 to 1006 that are not leaving any remainder, hence we can say factors of 1006 is 1, 2, 503, 1006.

Also note that, in exponential form prime factorization of 1006 is written as 21 × 5031 and it is a composite number.

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