Factors of 782

All factors of 782

Here are all 8 factors of 782, listed from smallest to largest.

Factor pairs of 782

These 4 pairs of whole numbers each multiply to give 782.

Prime factorization of 782

Dividing 782 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 782 are 2, 17, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 782

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

Properties of 782

What makes 782 interesting

• 782 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.
• 782 is a deficient number: its proper factors sum to 514, which is 268 less than 782 itself.
• 782 has 3 distinct prime factors (2, 17, 23), which is why it has so many divisors.

How to find the factors of 782 yourself

Divide 782 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 √782 ≈ 27.96, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 17, 23, 34, 46, 391, 782. The factor calculator does this automatically for any number.