# Prime factorization of 1001

Here you will see step by step solution of prime factorization of 1001, how to find factors of 1001, you will see all factors of 1001, how many factors of 1001 has? Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001, we can see that 1001 has 8 factor and sum of all factors is 1344.

• All Factors of 1001: 1, 7, 11, 13, 77, 91, 143, 1001
• Prime Factors of 1001: 7 × 11 × 13
• Prime Factorization of 1001: 71 × 111 × 131
• Sum of Factors of 1001: 1344
• Is 1001 prime number: No

### How to find factors of 1001 by Division Method?

To find the factors of 1001 by division method, we need the find the all numbers between 1 to 1001, which divide 1001 with 0 remainder, then the number is factor of 1001.

### Pair factors of 1001

• 1001/1 = 1001 [ 1 × 1001 (1, 1001) 1 and 1001 is pair factor of 1001]
• 1001/7 = 143 [ 7 × 143 (7, 143) 7 and 143 is pair factor of 1001]
• 1001/11 = 91 [ 11 × 91 (11, 91) 11 and 91 is pair factor of 1001]
• 1001/13 = 77 [ 13 × 77 (13, 77) 13 and 77 is pair factor of 1001]
• 1001/77 = 13 [ 77 × 13 (77, 13) 77 and 13 is pair factor of 1001]
• 1001/91 = 11 [ 91 × 11 (91, 11) 91 and 11 is pair factor of 1001]
• 1001/143 = 7 [ 143 × 7 (143, 7) 143 and 7 is pair factor of 1001]
• 1001/1001 = 1 [ 1001 × 1 (1001, 1) 1001 and 1 is pair factor of 1001]

As we checked numbers between 1 to 1001 that are not leaving any remainder, hence we can say factors of 1001 is 1, 7, 11, 13, 77, 91, 143, 1001.

Also note that, in exponential form prime factorization of 1001 is written as 71 × 111 × 131 and it is a composite number.

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