Factor Calculator

Factors of 973

The factors of 973 are 1, 7, 139, and 973. In total, 973 has 4 factors. Its prime factorization is 7 × 139, and the sum of all its factors is 1120.

All factors of 973

Here are all 4 factors of 973, listed from smallest to largest.

17139973

Factor pairs of 973

These 2 pairs of whole numbers each multiply to give 973.

1 × 973 = 973
7 × 139 = 973

Prime factorization of 973

Dividing 973 by the smallest prime at each step gives its prime factorization:

973 ÷ 7 = 139
139 ÷ 139 = 1
Result: 973 = 7 × 139 = 7 × 139

The distinct prime factors of 973 are 7, 139. To factorize any other number, use the prime factorization calculator.

Factor tree of 973

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

Factor tree of 9739737139
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 973

Number of factors4
Sum of factors1120
Sum of proper factors147
Prime factorization7 × 139
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 973 interesting

  • 973 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.
  • 973 is a deficient number: its proper factors sum to 147, which is 826 less than 973 itself.

How to find the factors of 973 yourself

Divide 973 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 √973 ≈ 31.19, because every factor above that pairs with one below it.

973 ÷ 1 = 973 ✓
973 ÷ 7 = 139 ✓

Reading both columns gives every factor: 1, 7, 139, 973. The factor calculator does this automatically for any number.

Numbers mathematically connected to 973.

Frequently asked questions about 973

What are the factors of 973?

The factors of 973 are 1, 7, 139, and 973. That is 4 factors in total, counting both 1 and 973.

Is 973 a prime number?

No, 973 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 973 is also divisible by 7.

What is the prime factorization of 973?

The prime factorization of 973 is 7 × 139. Written out in full: 7 × 139 = 973. Its distinct prime factors are 7, 139.

What two numbers multiply to give 973?

There are 2 pairs of whole numbers that multiply to 973: 1 × 973, 7 × 139.

What is the sum of the factors of 973?

Adding all the factors of 973 together gives 1120. Excluding 973 itself, the proper factors sum to 147.

Is 973 a perfect square?

No, 973 is not a perfect square. There is no whole number that multiplies by itself to give 973. The nearest perfect squares are 961 and 1024.

What is the largest factor of 973 other than itself?

The largest factor of 973 apart from 973 itself is 139, since 973 ÷ 139 = 7.

How many factors does 973 have?

973 has 4 factors: 1, 7, 139, and 973. You can verify this from the prime factorization 7 × 139: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 973 down further with the prime factorization calculator, or compare 973 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.