Factors of 2,000
Answer
Factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
Number of factors: 20
Factor pairs: (1, 2000), (2, 1000), (4, 500), (5, 400), (8, 250), (10, 200), (16, 125), (20, 100), (25, 80), (40, 50)
Prime Factorization
2000 = 24 × 53
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 4,836
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Understanding the Factors of 2,000
When we look at the number 2,000, we find that it has 20 factors in total. These are the numbers that divide evenly into 2,000 with no remainder.
This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 24 × 53.
Factor Pairs
The factors of 2,000 can be arranged in pairs: (1, 2000), (2, 1000), (4, 500), (5, 400), (8, 250), (10, 200), (16, 125), (20, 100), (25, 80), (40, 50). Each pair multiplies to give 2,000.