Factors of 72
Answer
Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Number of factors: 12
Factor pairs: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)
Prime Factorization
72 = 23 × 32
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 195
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Understanding the Factors of 72
When we look at the number 72, we find that it has 12 factors in total. These are the numbers that divide evenly into 72 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.
Factor Pairs
The factors of 72 can be arranged in pairs: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9). Each pair multiplies to give 72.