Factor Calculator

Factors of 776

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, and 776. In total, 776 has 8 factors. Its prime factorization is 2³ × 97, and the sum of all its factors is 1470.

All factors of 776

Here are all 8 factors of 776, listed from smallest to largest.

124897194388776

Factor pairs of 776

These 4 pairs of whole numbers each multiply to give 776.

1 × 776 = 776
2 × 388 = 776
4 × 194 = 776
8 × 97 = 776

Prime factorization of 776

Dividing 776 by the smallest prime at each step gives its prime factorization:

776 ÷ 2 = 388
388 ÷ 2 = 194
194 ÷ 2 = 97
97 ÷ 97 = 1
Result: 776 = 2 × 2 × 2 × 97 = 2³ × 97

The distinct prime factors of 776 are 2, 97. To factorize any other number, use the prime factorization calculator.

Factor tree of 776

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

Factor tree of 77677623882194297
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 776

Number of factors8
Sum of factors1470
Sum of proper factors694
Prime factorization2³ × 97
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 776 interesting

  • 776 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 776 is a deficient number: its proper factors sum to 694, which is 82 less than 776 itself.

How to find the factors of 776 yourself

Divide 776 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 √77627.86, because every factor above that pairs with one below it.

776 ÷ 1 = 776
776 ÷ 2 = 388
776 ÷ 4 = 194
776 ÷ 8 = 97

Reading both columns gives every factor: 1, 2, 4, 8, 97, 194, 388, 776. The factor calculator does this automatically for any number.

Frequently asked questions about 776

What are the factors of 776?

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, and 776. That is 8 factors in total, counting both 1 and 776.

Is 776 a prime number?

No, 776 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 776 is also divisible by 2.

What is the prime factorization of 776?

The prime factorization of 776 is 2³ × 97. Written out in full: 2 × 2 × 2 × 97 = 776. Its distinct prime factors are 2, 97.

What two numbers multiply to give 776?

There are 4 pairs of whole numbers that multiply to 776: 1 × 776, 2 × 388, 4 × 194, 8 × 97.

What is the sum of the factors of 776?

Adding all the factors of 776 together gives 1470. Excluding 776 itself, the proper factors sum to 694.

Is 776 a perfect square?

No, 776 is not a perfect square. There is no whole number that multiplies by itself to give 776. The nearest perfect squares are 729 and 784.

What is the largest factor of 776 other than itself?

The largest factor of 776 apart from 776 itself is 388, since 776 ÷ 388 = 2.

How many factors does 776 have?

776 has 8 factors: 1, 2, 4, 8, 97, 194, 388, and 776. You can verify this from the prime factorization 2³ × 97: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 776 down further with the prime factorization calculator, or compare 776 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.