# Prime factorization of 400

Here you will see step by step solution of prime factorization of 400, how to find factors of 400, you will see all factors of 400, how many factors of 400 has? Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400, we can see that 400 has 15 factor and sum of all factors is 961.

• All Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
• Prime Factors of 400: 2 × 2 × 2 × 2 × 5 × 5
• Prime Factorization of 400: 24 × 52
• Sum of Factors of 400: 961
• Is 400 prime number: No

### How to find factors of 400 by Division Method?

To find the factors of 400 by division method, we need the find the all numbers between 1 to 400, which divide 400 with 0 remainder, then the number is factor of 400.

### Pair factors of 400

• 400/1 = 400 [ 1 × 400 (1, 400) 1 and 400 is pair factor of 400]
• 400/2 = 200 [ 2 × 200 (2, 200) 2 and 200 is pair factor of 400]
• 400/4 = 100 [ 4 × 100 (4, 100) 4 and 100 is pair factor of 400]
• 400/5 = 80 [ 5 × 80 (5, 80) 5 and 80 is pair factor of 400]
• 400/8 = 50 [ 8 × 50 (8, 50) 8 and 50 is pair factor of 400]
• 400/10 = 40 [ 10 × 40 (10, 40) 10 and 40 is pair factor of 400]
• 400/16 = 25 [ 16 × 25 (16, 25) 16 and 25 is pair factor of 400]
• 400/20 = 20 [ 20 × 20 (20, 20) 20 and 20 is pair factor of 400]
• 400/25 = 16 [ 25 × 16 (25, 16) 25 and 16 is pair factor of 400]
• 400/40 = 10 [ 40 × 10 (40, 10) 40 and 10 is pair factor of 400]
• 400/50 = 8 [ 50 × 8 (50, 8) 50 and 8 is pair factor of 400]
• 400/80 = 5 [ 80 × 5 (80, 5) 80 and 5 is pair factor of 400]
• 400/100 = 4 [ 100 × 4 (100, 4) 100 and 4 is pair factor of 400]
• 400/200 = 2 [ 200 × 2 (200, 2) 200 and 2 is pair factor of 400]
• 400/400 = 1 [ 400 × 1 (400, 1) 400 and 1 is pair factor of 400]

As we checked numbers between 1 to 400 that are not leaving any remainder, hence we can say factors of 400 is 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400.

Also note that, in exponential form prime factorization of 400 is written as 24 × 52 and it is a composite number.

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