# Prime factorization of 250

Here you will see step by step solution of prime factorization of 250, how to find factors of 250, you will see all factors of 250, how many factors of 250 has? Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250, we can see that 250 has 8 factor and sum of all factors is 468.

• All Factors of 250: 1, 2, 5, 10, 25, 50, 125, 250
• Prime Factors of 250: 2 × 5 × 5 × 5
• Prime Factorization of 250: 21 × 53
• Sum of Factors of 250: 468
• Is 250 prime number: No

### How to find factors of 250 by Division Method?

To find the factors of 250 by division method, we need the find the all numbers between 1 to 250, which divide 250 with 0 remainder, then the number is factor of 250.

### Pair factors of 250

• 250/1 = 250 [ 1 × 250 (1, 250) 1 and 250 is pair factor of 250]
• 250/2 = 125 [ 2 × 125 (2, 125) 2 and 125 is pair factor of 250]
• 250/5 = 50 [ 5 × 50 (5, 50) 5 and 50 is pair factor of 250]
• 250/10 = 25 [ 10 × 25 (10, 25) 10 and 25 is pair factor of 250]
• 250/25 = 10 [ 25 × 10 (25, 10) 25 and 10 is pair factor of 250]
• 250/50 = 5 [ 50 × 5 (50, 5) 50 and 5 is pair factor of 250]
• 250/125 = 2 [ 125 × 2 (125, 2) 125 and 2 is pair factor of 250]
• 250/250 = 1 [ 250 × 1 (250, 1) 250 and 1 is pair factor of 250]

As we checked numbers between 1 to 250 that are not leaving any remainder, hence we can say factors of 250 is 1, 2, 5, 10, 25, 50, 125, 250.

Also note that, in exponential form prime factorization of 250 is written as 21 × 53 and it is a composite number.

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