Factors of 372
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372. In total, 372 has 12 factors. Its prime factorization is 2² × 3 × 31, and the sum of all its factors is 896.
All factors of 372
Here are all 12 factors of 372, listed from smallest to largest.
Factor pairs of 372
These 6 pairs of whole numbers each multiply to give 372.
Prime factorization of 372
Dividing 372 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 372 are 2, 3, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 372
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 372
| Number of factors | 12 |
|---|---|
| Sum of factors | 896 |
| Sum of proper factors | 524 |
| Prime factorization | 2² × 3 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 372 interesting
- 372 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 372 is an abundant number: its proper factors sum to 524, which is 152 more than 372 itself.
- 372 has 3 distinct prime factors (2, 3, 31), which is why it has so many divisors.
How to find the factors of 372 yourself
Divide 372 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √372 ≈ 19.29, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 372.
Frequently asked questions about 372
What are the factors of 372?
Is 372 a prime number?
What is the prime factorization of 372?
What two numbers multiply to give 372?
What is the sum of the factors of 372?
Is 372 a perfect square?
What is the largest factor of 372 other than itself?
How many factors does 372 have?
Explore more
Try another number in the factor calculator, break 372 down further with the prime factorization calculator, or compare 372 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.