The Factor Calculator lists all factors and factor pairs of a whole number, plus its prime factorization.
120 has 16 factors
| Factors | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 |
| Factor pairs | 1 × 120, 2 × 60, 3 × 40, 4 × 30, 5 × 24, 6 × 20, 8 × 15, 10 × 12 |
| Prime factorization | 2^3 × 3 × 5 |
| Prime? | No |
Factors are whole numbers that divide another number exactly. The factors of 12 are 1, 2, 3, 4, 6 and 12. Factor pairs multiply to the number: 1 × 12, 2 × 6, 3 × 4.
Test divisors from 1 up to the square root of the number; each divisor found gives its pair. For 120: 1, 2, 3, 4, 5, 6, 8, 10 and their partners 120, 60, 40, 30, 24, 20, 15, 12, so 120 has 16 factors.
A prime number has exactly two factors, 1 and itself. A composite number has more. The number of factors can be found from the prime factorization: 120 = 2³ × 3 × 5 has (3 + 1)(1 + 1)(1 + 1) = 16 factors.
Is 1 a factor of every number? Yes.
Is 1 prime? No.
What is a perfect number? One equal to the sum of its other factors, like 6 or 28.