Factors of 742

All factors of 742

Here are all 8 factors of 742, listed from smallest to largest.

Factor pairs of 742

These 4 pairs of whole numbers each multiply to give 742.

Prime factorization of 742

Dividing 742 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 742 are 2, 7, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 742

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

Properties of 742

What makes 742 interesting

• 742 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.
• 742 is a deficient number: its proper factors sum to 554, which is 188 less than 742 itself.
• 742 has 3 distinct prime factors (2, 7, 53), which is why it has so many divisors.

How to find the factors of 742 yourself

Divide 742 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 √742 ≈ 27.24, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 7, 14, 53, 106, 371, 742. The factor calculator does this automatically for any number.