Factor Calculator

Factors of 76

The factors of 76 are 1, 2, 4, 19, 38, and 76. In total, 76 has 6 factors. Its prime factorization is 2² × 19, and the sum of all its factors is 140.

All factors of 76

Here are all 6 factors of 76, listed from smallest to largest.

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Factor pairs of 76

These 3 pairs of whole numbers each multiply to give 76.

1 × 76 = 76
2 × 38 = 76
4 × 19 = 76

Prime factorization of 76

Dividing 76 by the smallest prime at each step gives its prime factorization:

76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1
Result: 76 = 2 × 2 × 19 = 2² × 19

The distinct prime factors of 76 are 2, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 76

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

Factor tree of 7676238219
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 76

Number of factors6
Sum of factors140
Sum of proper factors64
Prime factorization2² × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 76 interesting

  • 76 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 76 is a deficient number: its proper factors sum to 64, which is 12 less than 76 itself.

How to find the factors of 76 yourself

Divide 76 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 √768.72, because every factor above that pairs with one below it.

76 ÷ 1 = 76
76 ÷ 2 = 38
76 ÷ 4 = 19

Reading both columns gives every factor: 1, 2, 4, 19, 38, 76. The factor calculator does this automatically for any number.

Frequently asked questions about 76

What are the factors of 76?

The factors of 76 are 1, 2, 4, 19, 38, and 76. That is 6 factors in total, counting both 1 and 76.

Is 76 a prime number?

No, 76 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 76 is also divisible by 2.

What is the prime factorization of 76?

The prime factorization of 76 is 2² × 19. Written out in full: 2 × 2 × 19 = 76. Its distinct prime factors are 2, 19.

What two numbers multiply to give 76?

There are 3 pairs of whole numbers that multiply to 76: 1 × 76, 2 × 38, 4 × 19.

What is the sum of the factors of 76?

Adding all the factors of 76 together gives 140. Excluding 76 itself, the proper factors sum to 64.

Is 76 a perfect square?

No, 76 is not a perfect square. There is no whole number that multiplies by itself to give 76. The nearest perfect squares are 64 and 81.

What is the largest factor of 76 other than itself?

The largest factor of 76 apart from 76 itself is 38, since 76 ÷ 38 = 2.

How many factors does 76 have?

76 has 6 factors: 1, 2, 4, 19, 38, and 76. You can verify this from the prime factorization 2² × 19: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 76 down further with the prime factorization calculator, or compare 76 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.