# Prime factorization of 800

Here you will see step by step solution of prime factorization of 800, how to find factors of 800, you will see all factors of 800, how many factors of 800 has? Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800, we can see that 800 has 18 factor and sum of all factors is 1953.

• All Factors of 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
• Prime Factors of 800: 2 × 2 × 2 × 2 × 2 × 5 × 5
• Prime Factorization of 800: 25 × 52
• Sum of Factors of 800: 1953
• Is 800 prime number: No

### How to find factors of 800 by Division Method?

To find the factors of 800 by division method, we need the find the all numbers between 1 to 800, which divide 800 with 0 remainder, then the number is factor of 800.

### Pair factors of 800

• 800/1 = 800 [ 1 × 800 (1, 800) 1 and 800 is pair factor of 800]
• 800/2 = 400 [ 2 × 400 (2, 400) 2 and 400 is pair factor of 800]
• 800/4 = 200 [ 4 × 200 (4, 200) 4 and 200 is pair factor of 800]
• 800/5 = 160 [ 5 × 160 (5, 160) 5 and 160 is pair factor of 800]
• 800/8 = 100 [ 8 × 100 (8, 100) 8 and 100 is pair factor of 800]
• 800/10 = 80 [ 10 × 80 (10, 80) 10 and 80 is pair factor of 800]
• 800/16 = 50 [ 16 × 50 (16, 50) 16 and 50 is pair factor of 800]
• 800/20 = 40 [ 20 × 40 (20, 40) 20 and 40 is pair factor of 800]
• 800/25 = 32 [ 25 × 32 (25, 32) 25 and 32 is pair factor of 800]
• 800/32 = 25 [ 32 × 25 (32, 25) 32 and 25 is pair factor of 800]
• 800/40 = 20 [ 40 × 20 (40, 20) 40 and 20 is pair factor of 800]
• 800/50 = 16 [ 50 × 16 (50, 16) 50 and 16 is pair factor of 800]
• 800/80 = 10 [ 80 × 10 (80, 10) 80 and 10 is pair factor of 800]
• 800/100 = 8 [ 100 × 8 (100, 8) 100 and 8 is pair factor of 800]
• 800/160 = 5 [ 160 × 5 (160, 5) 160 and 5 is pair factor of 800]
• 800/200 = 4 [ 200 × 4 (200, 4) 200 and 4 is pair factor of 800]
• 800/400 = 2 [ 400 × 2 (400, 2) 400 and 2 is pair factor of 800]
• 800/800 = 1 [ 800 × 1 (800, 1) 800 and 1 is pair factor of 800]

As we checked numbers between 1 to 800 that are not leaving any remainder, hence we can say factors of 800 is 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800.

Also note that, in exponential form prime factorization of 800 is written as 25 × 52 and it is a composite number.

#### Prime Factorization Calculator

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