Factor Calculator

Factors of 77

The factors of 77 are 1, 7, 11, and 77. In total, 77 has 4 factors. Its prime factorization is 7 × 11, and the sum of all its factors is 96.

All factors of 77

Here are all 4 factors of 77, listed from smallest to largest.

171177

Factor pairs of 77

These 2 pairs of whole numbers each multiply to give 77.

1 × 77 = 77
7 × 11 = 77

Prime factorization of 77

Dividing 77 by the smallest prime at each step gives its prime factorization:

77 ÷ 7 = 11
11 ÷ 11 = 1
Result: 77 = 7 × 11 = 7 × 11

The distinct prime factors of 77 are 7, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 77

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

Factor tree of 7777711
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 77

Number of factors4
Sum of factors96
Sum of proper factors19
Prime factorization7 × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 77 interesting

  • 77 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.
  • 77 is a deficient number: its proper factors sum to 19, which is 58 less than 77 itself.

How to find the factors of 77 yourself

Divide 77 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 √778.77, because every factor above that pairs with one below it.

77 ÷ 1 = 77
77 ÷ 7 = 11

Reading both columns gives every factor: 1, 7, 11, 77. The factor calculator does this automatically for any number.

Frequently asked questions about 77

What are the factors of 77?

The factors of 77 are 1, 7, 11, and 77. That is 4 factors in total, counting both 1 and 77.

Is 77 a prime number?

No, 77 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 77 is also divisible by 7.

What is the prime factorization of 77?

The prime factorization of 77 is 7 × 11. Written out in full: 7 × 11 = 77. Its distinct prime factors are 7, 11.

What two numbers multiply to give 77?

There are 2 pairs of whole numbers that multiply to 77: 1 × 77, 7 × 11.

What is the sum of the factors of 77?

Adding all the factors of 77 together gives 96. Excluding 77 itself, the proper factors sum to 19.

Is 77 a perfect square?

No, 77 is not a perfect square. There is no whole number that multiplies by itself to give 77. The nearest perfect squares are 64 and 81.

What is the largest factor of 77 other than itself?

The largest factor of 77 apart from 77 itself is 11, since 77 ÷ 11 = 7.

How many factors does 77 have?

77 has 4 factors: 1, 7, 11, and 77. You can verify this from the prime factorization 7 × 11: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 77 down further with the prime factorization calculator, or compare 77 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.