# Prime factorization of 1004

Here you will see step by step solution of prime factorization of 1004, how to find factors of 1004, you will see all factors of 1004, how many factors of 1004 has? Factors of 1004 are 1, 2, 4, 251, 502, 1004, we can see that 1004 has 6 factor and sum of all factors is 1764.

• All Factors of 1004: 1, 2, 4, 251, 502, 1004
• Prime Factors of 1004: 2 × 2 × 251
• Prime Factorization of 1004: 22 × 2511
• Sum of Factors of 1004: 1764
• Is 1004 prime number: No

### How to find factors of 1004 by Division Method?

To find the factors of 1004 by division method, we need the find the all numbers between 1 to 1004, which divide 1004 with 0 remainder, then the number is factor of 1004.

### Pair factors of 1004

• 1004/1 = 1004 [ 1 × 1004 (1, 1004) 1 and 1004 is pair factor of 1004]
• 1004/2 = 502 [ 2 × 502 (2, 502) 2 and 502 is pair factor of 1004]
• 1004/4 = 251 [ 4 × 251 (4, 251) 4 and 251 is pair factor of 1004]
• 1004/251 = 4 [ 251 × 4 (251, 4) 251 and 4 is pair factor of 1004]
• 1004/502 = 2 [ 502 × 2 (502, 2) 502 and 2 is pair factor of 1004]
• 1004/1004 = 1 [ 1004 × 1 (1004, 1) 1004 and 1 is pair factor of 1004]

As we checked numbers between 1 to 1004 that are not leaving any remainder, hence we can say factors of 1004 is 1, 2, 4, 251, 502, 1004.

Also note that, in exponential form prime factorization of 1004 is written as 22 × 2511 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 1004. Let's check some other examples of factors.