Factor Calculator

Factors of 1037

The factors of 1037 are 1, 17, 61, and 1037. In total, 1037 has 4 factors. Its prime factorization is 17 × 61, and the sum of all its factors is 1116.

All factors of 1037

Here are all 4 factors of 1037, listed from smallest to largest.

117611037

Factor pairs of 1037

These 2 pairs of whole numbers each multiply to give 1037.

1 × 1037 = 1037
17 × 61 = 1037

Prime factorization of 1037

Dividing 1037 by the smallest prime at each step gives its prime factorization:

1037 ÷ 17 = 61
61 ÷ 61 = 1
Result: 1037 = 17 × 61 = 17 × 61

The distinct prime factors of 1037 are 17, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 1037

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 103710371761
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1037

Number of factors4
Sum of factors1116
Sum of proper factors79
Prime factorization17 × 61
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1037 interesting

  • 1037 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 1037 is a deficient number: its proper factors sum to 79, which is 958 less than 1037 itself.

How to find the factors of 1037 yourself

Divide 1037 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 √1037 ≈ 32.20, because every factor above that pairs with one below it.

1037 ÷ 1 = 1037 ✓
1037 ÷ 17 = 61 ✓

Reading both columns gives every factor: 1, 17, 61, 1037. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1037.

Frequently asked questions about 1037

What are the factors of 1037?

The factors of 1037 are 1, 17, 61, and 1037. That is 4 factors in total, counting both 1 and 1037.

Is 1037 a prime number?

No, 1037 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1037 is also divisible by 17.

What is the prime factorization of 1037?

The prime factorization of 1037 is 17 × 61. Written out in full: 17 × 61 = 1037. Its distinct prime factors are 17, 61.

What two numbers multiply to give 1037?

There are 2 pairs of whole numbers that multiply to 1037: 1 × 1037, 17 × 61.

What is the sum of the factors of 1037?

Adding all the factors of 1037 together gives 1116. Excluding 1037 itself, the proper factors sum to 79.

Is 1037 a perfect square?

No, 1037 is not a perfect square. There is no whole number that multiplies by itself to give 1037. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1037 other than itself?

The largest factor of 1037 apart from 1037 itself is 61, since 1037 ÷ 61 = 17.

How many factors does 1037 have?

1037 has 4 factors: 1, 17, 61, and 1037. You can verify this from the prime factorization 17 × 61: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1037 down further with the prime factorization calculator, or compare 1037 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.