Factors of 360
Answer
Factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Number of factors: 24
Factor pairs: (1, 360), (2, 180), (3, 120), (4, 90), (5, 72), (6, 60), (8, 45), (9, 40), (10, 36), (12, 30), (15, 24), (18, 20)
Prime Factorization
360 = 23 × 32 × 5
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 1,170
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Understanding the Factors of 360
When we look at the number 360, we find that it has 24 factors in total. These are the numbers that divide evenly into 360 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: 23 × 32 × 5.
Factor Pairs
The factors of 360 can be arranged in pairs: (1, 360), (2, 180), (3, 120), (4, 90), (5, 72), (6, 60), (8, 45), (9, 40), (10, 36), (12, 30), (15, 24), (18, 20). Each pair multiplies to give 360.