Factor Calculator

Factors of 779

The factors of 779 are 1, 19, 41, and 779. In total, 779 has 4 factors. Its prime factorization is 19 × 41, and the sum of all its factors is 840.

All factors of 779

Here are all 4 factors of 779, listed from smallest to largest.

11941779

Factor pairs of 779

These 2 pairs of whole numbers each multiply to give 779.

1 × 779 = 779
19 × 41 = 779

Prime factorization of 779

Dividing 779 by the smallest prime at each step gives its prime factorization:

779 ÷ 19 = 41
41 ÷ 41 = 1
Result: 779 = 19 × 41 = 19 × 41

The distinct prime factors of 779 are 19, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 779

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

Factor tree of 7797791941
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 779

Number of factors4
Sum of factors840
Sum of proper factors61
Prime factorization19 × 41
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 779 interesting

  • 779 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.
  • 779 is a deficient number: its proper factors sum to 61, which is 718 less than 779 itself.

How to find the factors of 779 yourself

Divide 779 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 √77927.91, because every factor above that pairs with one below it.

779 ÷ 1 = 779
779 ÷ 19 = 41

Reading both columns gives every factor: 1, 19, 41, 779. The factor calculator does this automatically for any number.

Frequently asked questions about 779

What are the factors of 779?

The factors of 779 are 1, 19, 41, and 779. That is 4 factors in total, counting both 1 and 779.

Is 779 a prime number?

No, 779 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 779 is also divisible by 19.

What is the prime factorization of 779?

The prime factorization of 779 is 19 × 41. Written out in full: 19 × 41 = 779. Its distinct prime factors are 19, 41.

What two numbers multiply to give 779?

There are 2 pairs of whole numbers that multiply to 779: 1 × 779, 19 × 41.

What is the sum of the factors of 779?

Adding all the factors of 779 together gives 840. Excluding 779 itself, the proper factors sum to 61.

Is 779 a perfect square?

No, 779 is not a perfect square. There is no whole number that multiplies by itself to give 779. The nearest perfect squares are 729 and 784.

What is the largest factor of 779 other than itself?

The largest factor of 779 apart from 779 itself is 41, since 779 ÷ 41 = 19.

How many factors does 779 have?

779 has 4 factors: 1, 19, 41, and 779. You can verify this from the prime factorization 19 × 41: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 779 down further with the prime factorization calculator, or compare 779 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.