Factors of 465

All factors of 465

Here are all 8 factors of 465, listed from smallest to largest.

Factor pairs of 465

These 4 pairs of whole numbers each multiply to give 465.

Prime factorization of 465

Dividing 465 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 465 are 3, 5, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 465

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

Properties of 465

What makes 465 interesting

• 465 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.
• 465 is a deficient number: its proper factors sum to 303, which is 162 less than 465 itself.
• 465 is a triangular number — it is the sum of the first 30 whole numbers (1 + 2 + … + 30 = 465).
• 465 has 3 distinct prime factors (3, 5, 31), which is why it has so many divisors.

How to find the factors of 465 yourself

Divide 465 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 √465 ≈ 21.56, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 3, 5, 15, 31, 93, 155, 465. The factor calculator does this automatically for any number.