Factor Calculator

Factors of 37

The factors of 37 are 1 and 37. Since 37 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 38, and its prime factorization is simply 37 itself.

All factors of 37

Here are all 2 factors of 37, listed from smallest to largest.

137

Factor pairs of 37

There is only one factor pair for 37, because it is prime.

1 × 37 = 37

Prime factorization of 37

37 is a prime number, so it cannot be broken down further. Its prime factorization is simply 37.

Properties of 37

Number of factors2
Sum of factors38
Sum of proper factors1
Prime factorization37
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 37 interesting

  • 37 is a prime number, so its only factors are 1 and 37. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 37 yourself

Divide 37 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 √37 ≈ 6.08, because every factor above that pairs with one below it.

37 ÷ 1 = 37 ✓

Reading both columns gives every factor: 1, 37. The factor calculator does this automatically for any number.

Numbers mathematically connected to 37.

Frequently asked questions about 37

What are the factors of 37?

The factors of 37 are 1 and 37. That is 2 factors in total, counting both 1 and 37.

Is 37 a prime number?

Yes, 37 is a prime number. It has exactly two factors: 1 and 37. No other whole number divides it evenly.

What is the prime factorization of 37?

37 is already prime, so its prime factorization is simply 37. It cannot be broken down any further.

What two numbers multiply to give 37?

There is 1 pair of whole numbers that multiply to 37: 1 × 37.

What is the sum of the factors of 37?

Adding all the factors of 37 together gives 38. Excluding 37 itself, the proper factors sum to 1.

Is 37 a perfect square?

No, 37 is not a perfect square. There is no whole number that multiplies by itself to give 37. The nearest perfect squares are 36 and 49.

What is the largest factor of 37 other than itself?

The largest factor of 37 apart from 37 itself is 1, since 37 ÷ 1 = 37.

How many factors does 37 have?

37 has 2 factors: 1 and 37.

Explore more

Try another number in the factor calculator, break 37 down further with the prime factorization calculator, or compare 37 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.