# Prime factorization of 872

Here you will see step by step solution of prime factorization of 872, how to find factors of 872, you will see all factors of 872, how many factors of 872 has? Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872, we can see that 872 has 8 factor and sum of all factors is 1650.

• All Factors of 872: 1, 2, 4, 8, 109, 218, 436, 872
• Prime Factors of 872: 2 × 2 × 2 × 109
• Prime Factorization of 872: 23 × 1091
• Sum of Factors of 872: 1650
• Is 872 prime number: No

### How to find factors of 872 by Division Method?

To find the factors of 872 by division method, we need the find the all numbers between 1 to 872, which divide 872 with 0 remainder, then the number is factor of 872.

### Pair factors of 872

• 872/1 = 872 [ 1 × 872 (1, 872) 1 and 872 is pair factor of 872]
• 872/2 = 436 [ 2 × 436 (2, 436) 2 and 436 is pair factor of 872]
• 872/4 = 218 [ 4 × 218 (4, 218) 4 and 218 is pair factor of 872]
• 872/8 = 109 [ 8 × 109 (8, 109) 8 and 109 is pair factor of 872]
• 872/109 = 8 [ 109 × 8 (109, 8) 109 and 8 is pair factor of 872]
• 872/218 = 4 [ 218 × 4 (218, 4) 218 and 4 is pair factor of 872]
• 872/436 = 2 [ 436 × 2 (436, 2) 436 and 2 is pair factor of 872]
• 872/872 = 1 [ 872 × 1 (872, 1) 872 and 1 is pair factor of 872]

As we checked numbers between 1 to 872 that are not leaving any remainder, hence we can say factors of 872 is 1, 2, 4, 8, 109, 218, 436, 872.

Also note that, in exponential form prime factorization of 872 is written as 23 × 1091 and it is a composite number.

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