Factors of 175

All factors of 175

Here are all 6 factors of 175, listed from smallest to largest.

Factor pairs of 175

These 3 pairs of whole numbers each multiply to give 175.

Prime factorization of 175

Dividing 175 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 175 are 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 175

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

Properties of 175

What makes 175 interesting

• 175 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
• 175 is a deficient number: its proper factors sum to 73, which is 102 less than 175 itself.

How to find the factors of 175 yourself

Divide 175 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 √175 ≈ 13.23, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 5, 7, 25, 35, 175. The factor calculator does this automatically for any number.