Factors of 370
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, and 370. In total, 370 has 8 factors. Its prime factorization is 2 × 5 × 37, and the sum of all its factors is 684.
All factors of 370
Here are all 8 factors of 370, listed from smallest to largest.
Factor pairs of 370
These 4 pairs of whole numbers each multiply to give 370.
Prime factorization of 370
Dividing 370 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 370 are 2, 5, 37. To factorize any other number, use the prime factorization calculator.
Factor tree of 370
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 370
| Number of factors | 8 |
|---|---|
| Sum of factors | 684 |
| Sum of proper factors | 314 |
| Prime factorization | 2 × 5 × 37 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 370 interesting
- 370 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 370 is a deficient number: its proper factors sum to 314, which is 56 less than 370 itself.
- 370 has 3 distinct prime factors (2, 5, 37), which is why it has so many divisors.
How to find the factors of 370 yourself
Divide 370 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 √370 ≈ 19.24, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 37, 74, 185, 370. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 370.
Frequently asked questions about 370
What are the factors of 370?
Is 370 a prime number?
What is the prime factorization of 370?
What two numbers multiply to give 370?
What is the sum of the factors of 370?
Is 370 a perfect square?
What is the largest factor of 370 other than itself?
How many factors does 370 have?
Explore more
Try another number in the factor calculator, break 370 down further with the prime factorization calculator, or compare 370 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.