What are the Factors of 72?
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 (total of 12 factors). Learn whether 72 is prime or composite and see all factor pairs.
Exact Answer
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Total Factors
12
Number Type
Composite Number
Smallest / Largest
1 and 72
Sum of Factors
195
Step-by-Step Solution: Factors(72) = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step 1
Find All Integers That Divide 72 Evenly
Test integers from 1 up to √72 (8.49). Every divisor with remainder 0 gives a factor pair of 72.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Total Factors | 12 |
| Number Type | Composite Number |
| Smallest / Largest | 1 and 72 |
| Sum of Factors | 195 |
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Frequently Asked Questions
How many factors does 72 have?
72 has 12 positive factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Is 72 a prime number?
No, 72 is a composite number with 12 factors.