Factors of 900
Answer
Factors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Number of factors: 27
Factor pairs: (1, 900), (2, 450), (3, 300), (4, 225), (5, 180), (6, 150), (9, 100), (10, 90), (12, 75), (15, 60), (18, 50), (20, 45), (25, 36), (30, 30)
Prime Factorization
900 = 22 × 32 × 52
Properties
- This number is not prime
- This number is a perfect square
- This is an even number
- Sum of all factors: 2,821
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Understanding the Factors of 900
When we look at the number 900, we find that it has 27 factors in total. These are the numbers that divide evenly into 900 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: 22 × 32 × 52.
Factor Pairs
The factors of 900 can be arranged in pairs: (1, 900), (2, 450), (3, 300), (4, 225), (5, 180), (6, 150), (9, 100), (10, 90), (12, 75), (15, 60), (18, 50), (20, 45), (25, 36), (30, 30). Each pair multiplies to give 900.