# Prime factorization of 100

Here you will see step by step solution of prime factorization of 100, how to find factors of 100, you will see all factors of 100, how many factors of 100 has? Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100, we can see that 100 has 9 factor and sum of all factors is 217.

• All Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
• Prime Factors of 100: 2 × 2 × 5 × 5
• Prime Factorization of 100: 22 × 52
• Sum of Factors of 100: 217
• Is 100 prime number: No

### How to find factors of 100 by Division Method?

To find the factors of 100 by division method, we need the find the all numbers between 1 to 100, which divide 100 with 0 remainder, then the number is factor of 100.

### Pair factors of 100

• 100/1 = 100 [ 1 × 100 (1, 100) 1 and 100 is pair factor of 100]
• 100/2 = 50 [ 2 × 50 (2, 50) 2 and 50 is pair factor of 100]
• 100/4 = 25 [ 4 × 25 (4, 25) 4 and 25 is pair factor of 100]
• 100/5 = 20 [ 5 × 20 (5, 20) 5 and 20 is pair factor of 100]
• 100/10 = 10 [ 10 × 10 (10, 10) 10 and 10 is pair factor of 100]
• 100/20 = 5 [ 20 × 5 (20, 5) 20 and 5 is pair factor of 100]
• 100/25 = 4 [ 25 × 4 (25, 4) 25 and 4 is pair factor of 100]
• 100/50 = 2 [ 50 × 2 (50, 2) 50 and 2 is pair factor of 100]
• 100/100 = 1 [ 100 × 1 (100, 1) 100 and 1 is pair factor of 100]

As we checked numbers between 1 to 100 that are not leaving any remainder, hence we can say factors of 100 is 1, 2, 4, 5, 10, 20, 25, 50, 100.

Also note that, in exponential form prime factorization of 100 is written as 22 × 52 and it is a composite number.

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