Factors of 714

All factors of 714

Here are all 16 factors of 714, listed from smallest to largest.

Factor pairs of 714

These 8 pairs of whole numbers each multiply to give 714.

Prime factorization of 714

Dividing 714 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 714 are 2, 3, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 714

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

Properties of 714

What makes 714 interesting

• 714 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
• 714 is an abundant number: its proper factors sum to 1014, which is 300 more than 714 itself.
• 714 has 4 distinct prime factors (2, 3, 7, 17), which is why it has so many divisors.

How to find the factors of 714 yourself

Divide 714 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 √714 ≈ 26.72, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. The factor calculator does this automatically for any number.