Factor Calculator

Factors of 1073

The factors of 1073 are 1, 29, 37, and 1073. In total, 1073 has 4 factors. Its prime factorization is 29 × 37, and the sum of all its factors is 1140.

All factors of 1073

Here are all 4 factors of 1073, listed from smallest to largest.

129371073

Factor pairs of 1073

These 2 pairs of whole numbers each multiply to give 1073.

1 × 1073 = 1073
29 × 37 = 1073

Prime factorization of 1073

Dividing 1073 by the smallest prime at each step gives its prime factorization:

1073 ÷ 29 = 37
37 ÷ 37 = 1
Result: 1073 = 29 × 37 = 29 × 37

The distinct prime factors of 1073 are 29, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 1073

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

Factor tree of 107310732937
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1073

Number of factors4
Sum of factors1140
Sum of proper factors67
Prime factorization29 × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1073 interesting

  • 1073 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.
  • 1073 is a deficient number: its proper factors sum to 67, which is 1006 less than 1073 itself.

How to find the factors of 1073 yourself

Divide 1073 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 √1073 ≈ 32.76, because every factor above that pairs with one below it.

1073 ÷ 1 = 1073 ✓
1073 ÷ 29 = 37 ✓

Reading both columns gives every factor: 1, 29, 37, 1073. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1073.

Frequently asked questions about 1073

What are the factors of 1073?

The factors of 1073 are 1, 29, 37, and 1073. That is 4 factors in total, counting both 1 and 1073.

Is 1073 a prime number?

No, 1073 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1073 is also divisible by 29.

What is the prime factorization of 1073?

The prime factorization of 1073 is 29 × 37. Written out in full: 29 × 37 = 1073. Its distinct prime factors are 29, 37.

What two numbers multiply to give 1073?

There are 2 pairs of whole numbers that multiply to 1073: 1 × 1073, 29 × 37.

What is the sum of the factors of 1073?

Adding all the factors of 1073 together gives 1140. Excluding 1073 itself, the proper factors sum to 67.

Is 1073 a perfect square?

No, 1073 is not a perfect square. There is no whole number that multiplies by itself to give 1073. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1073 other than itself?

The largest factor of 1073 apart from 1073 itself is 37, since 1073 ÷ 37 = 29.

How many factors does 1073 have?

1073 has 4 factors: 1, 29, 37, and 1073. You can verify this from the prime factorization 29 × 37: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1073 down further with the prime factorization calculator, or compare 1073 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.