# Prime factorization of 1000

Here you will see step by step solution of prime factorization of 1000, how to find factors of 1000, you will see all factors of 1000, how many factors of 1000 has? Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000, we can see that 1000 has 16 factor and sum of all factors is 2340.

• All Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
• Prime Factors of 1000: 2 × 2 × 2 × 5 × 5 × 5
• Prime Factorization of 1000: 23 × 53
• Sum of Factors of 1000: 2340
• Is 1000 prime number: No

### How to find factors of 1000 by Division Method?

To find the factors of 1000 by division method, we need the find the all numbers between 1 to 1000, which divide 1000 with 0 remainder, then the number is factor of 1000.

### Pair factors of 1000

• 1000/1 = 1000 [ 1 × 1000 (1, 1000) 1 and 1000 is pair factor of 1000]
• 1000/2 = 500 [ 2 × 500 (2, 500) 2 and 500 is pair factor of 1000]
• 1000/4 = 250 [ 4 × 250 (4, 250) 4 and 250 is pair factor of 1000]
• 1000/5 = 200 [ 5 × 200 (5, 200) 5 and 200 is pair factor of 1000]
• 1000/8 = 125 [ 8 × 125 (8, 125) 8 and 125 is pair factor of 1000]
• 1000/10 = 100 [ 10 × 100 (10, 100) 10 and 100 is pair factor of 1000]
• 1000/20 = 50 [ 20 × 50 (20, 50) 20 and 50 is pair factor of 1000]
• 1000/25 = 40 [ 25 × 40 (25, 40) 25 and 40 is pair factor of 1000]
• 1000/40 = 25 [ 40 × 25 (40, 25) 40 and 25 is pair factor of 1000]
• 1000/50 = 20 [ 50 × 20 (50, 20) 50 and 20 is pair factor of 1000]
• 1000/100 = 10 [ 100 × 10 (100, 10) 100 and 10 is pair factor of 1000]
• 1000/125 = 8 [ 125 × 8 (125, 8) 125 and 8 is pair factor of 1000]
• 1000/200 = 5 [ 200 × 5 (200, 5) 200 and 5 is pair factor of 1000]
• 1000/250 = 4 [ 250 × 4 (250, 4) 250 and 4 is pair factor of 1000]
• 1000/500 = 2 [ 500 × 2 (500, 2) 500 and 2 is pair factor of 1000]
• 1000/1000 = 1 [ 1000 × 1 (1000, 1) 1000 and 1 is pair factor of 1000]

As we checked numbers between 1 to 1000 that are not leaving any remainder, hence we can say factors of 1000 is 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.

Also note that, in exponential form prime factorization of 1000 is written as 23 × 53 and it is a composite number.

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