Factors of 1128

All factors of 1128

Here are all 16 factors of 1128, listed from smallest to largest.

Factor pairs of 1128

These 8 pairs of whole numbers each multiply to give 1128.

Prime factorization of 1128

Dividing 1128 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1128 are 2, 3, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 1128

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

Properties of 1128

What makes 1128 interesting

• 1128 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.
• 1128 is an abundant number: its proper factors sum to 1752, which is 624 more than 1128 itself.
• 1128 is a triangular number — it is the sum of the first 47 whole numbers (1 + 2 + … + 47 = 1128).
• 1128 has 3 distinct prime factors (2, 3, 47), which is why it has so many divisors.

How to find the factors of 1128 yourself

Divide 1128 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 √1128 ≈ 33.59, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. The factor calculator does this automatically for any number.