Factors of 1064

All factors of 1064

Here are all 16 factors of 1064, listed from smallest to largest.

Factor pairs of 1064

These 8 pairs of whole numbers each multiply to give 1064.

Prime factorization of 1064

Dividing 1064 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1064 are 2, 7, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 1064

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

Properties of 1064

What makes 1064 interesting

• 1064 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.
• 1064 is an abundant number: its proper factors sum to 1336, which is 272 more than 1064 itself.
• 1064 has 3 distinct prime factors (2, 7, 19), which is why it has so many divisors.

How to find the factors of 1064 yourself

Divide 1064 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 √1064 ≈ 32.62, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. The factor calculator does this automatically for any number.