Factors of 777

All factors of 777

Here are all 8 factors of 777, listed from smallest to largest.

Factor pairs of 777

These 4 pairs of whole numbers each multiply to give 777.

Prime factorization of 777

Dividing 777 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 777 are 3, 7, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 777

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

Properties of 777

What makes 777 interesting

• 777 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.
• 777 is a deficient number: its proper factors sum to 439, which is 338 less than 777 itself.
• 777 has 3 distinct prime factors (3, 7, 37), which is why it has so many divisors.

How to find the factors of 777 yourself

Divide 777 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 √777 ≈ 27.87, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 7, 21, 37, 111, 259, 777. The factor calculator does this automatically for any number.