Factor Calculator

Factors of 976

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, and 976. In total, 976 has 10 factors. Its prime factorization is 2⁴ × 61, and the sum of all its factors is 1922.

All factors of 976

Here are all 10 factors of 976, listed from smallest to largest.

12481661122244488976

Factor pairs of 976

These 5 pairs of whole numbers each multiply to give 976.

1 × 976 = 976
2 × 488 = 976
4 × 244 = 976
8 × 122 = 976
16 × 61 = 976

Prime factorization of 976

Dividing 976 by the smallest prime at each step gives its prime factorization:

976 ÷ 2 = 488
488 ÷ 2 = 244
244 ÷ 2 = 122
122 ÷ 2 = 61
61 ÷ 61 = 1
Result: 976 = 2 × 2 × 2 × 2 × 61 = 2⁴ × 61

The distinct prime factors of 976 are 2, 61. To factorize any other number, use the prime factorization calculator.

Factor tree of 976

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

Factor tree of 976976248822442122261
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 976

Number of factors10
Sum of factors1922
Sum of proper factors946
Prime factorization2⁴ × 61
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 976 interesting

  • 976 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 976 is a deficient number: its proper factors sum to 946, which is 30 less than 976 itself.

How to find the factors of 976 yourself

Divide 976 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 √976 ≈ 31.24, because every factor above that pairs with one below it.

976 ÷ 1 = 976 ✓
976 ÷ 2 = 488 ✓
976 ÷ 4 = 244 ✓
976 ÷ 8 = 122 ✓
976 ÷ 16 = 61 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. The factor calculator does this automatically for any number.

Numbers mathematically connected to 976.

Frequently asked questions about 976

What are the factors of 976?

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, and 976. That is 10 factors in total, counting both 1 and 976.

Is 976 a prime number?

No, 976 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 976 is also divisible by 2.

What is the prime factorization of 976?

The prime factorization of 976 is 2⁴ × 61. Written out in full: 2 × 2 × 2 × 2 × 61 = 976. Its distinct prime factors are 2, 61.

What two numbers multiply to give 976?

There are 5 pairs of whole numbers that multiply to 976: 1 × 976, 2 × 488, 4 × 244, 8 × 122, 16 × 61.

What is the sum of the factors of 976?

Adding all the factors of 976 together gives 1922. Excluding 976 itself, the proper factors sum to 946.

Is 976 a perfect square?

No, 976 is not a perfect square. There is no whole number that multiplies by itself to give 976. The nearest perfect squares are 961 and 1024.

What is the largest factor of 976 other than itself?

The largest factor of 976 apart from 976 itself is 488, since 976 ÷ 488 = 2.

How many factors does 976 have?

976 has 10 factors: 1, 2, 4, 8, 16, 61, 122, 244, 488, and 976. You can verify this from the prime factorization 2⁴ × 61: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 976 down further with the prime factorization calculator, or compare 976 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.