Factor Calculator

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.

125103774185370

Factor pairs of 370

These 4 pairs of whole numbers each multiply to give 370.

1 × 370 = 370
2 × 185 = 370
5 × 74 = 370
10 × 37 = 370

Prime factorization of 370

Dividing 370 by the smallest prime at each step gives its prime factorization:

370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Result: 370 = 2 × 5 × 37 = 2 × 5 × 37

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.

Factor tree of 3703702185537
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 370

Number of factors8
Sum of factors684
Sum of proper factors314
Prime factorization2 × 5 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √37019.24, because every factor above that pairs with one below it.

370 ÷ 1 = 370
370 ÷ 2 = 185
370 ÷ 5 = 74
370 ÷ 10 = 37

Reading both columns gives every factor: 1, 2, 5, 10, 37, 74, 185, 370. The factor calculator does this automatically for any number.

Frequently asked questions about 370

What are the factors of 370?

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, and 370. That is 8 factors in total, counting both 1 and 370.

Is 370 a prime number?

No, 370 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 370 is also divisible by 2.

What is the prime factorization of 370?

The prime factorization of 370 is 2 × 5 × 37. Written out in full: 2 × 5 × 37 = 370. Its distinct prime factors are 2, 5, 37.

What two numbers multiply to give 370?

There are 4 pairs of whole numbers that multiply to 370: 1 × 370, 2 × 185, 5 × 74, 10 × 37.

What is the sum of the factors of 370?

Adding all the factors of 370 together gives 684. Excluding 370 itself, the proper factors sum to 314.

Is 370 a perfect square?

No, 370 is not a perfect square. There is no whole number that multiplies by itself to give 370. The nearest perfect squares are 361 and 400.

What is the largest factor of 370 other than itself?

The largest factor of 370 apart from 370 itself is 185, since 370 ÷ 185 = 2.

How many factors does 370 have?

370 has 8 factors: 1, 2, 5, 10, 37, 74, 185, and 370. You can verify this from the prime factorization 2 × 5 × 37: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.