Factors of 400
Answer
Factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Number of factors: 15
Factor pairs: (1, 400), (2, 200), (4, 100), (5, 80), (8, 50), (10, 40), (16, 25), (20, 20)
Prime Factorization
400 = 24 × 52
Properties
- This number is not prime
- This number is a perfect square
- This is an even number
- Sum of all factors: 961
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Understanding the Factors of 400
When we look at the number 400, we find that it has 15 factors in total. These are the numbers that divide evenly into 400 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 × 52.
Factor Pairs
The factors of 400 can be arranged in pairs: (1, 400), (2, 200), (4, 100), (5, 80), (8, 50), (10, 40), (16, 25), (20, 20). Each pair multiplies to give 400.