Factors of 1176

All factors of 1176

Here are all 24 factors of 1176, listed from smallest to largest.

Factor pairs of 1176

These 12 pairs of whole numbers each multiply to give 1176.

Prime factorization of 1176

Dividing 1176 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1176 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 1176

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

Properties of 1176

What makes 1176 interesting

• 1176 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
• 1176 is an abundant number: its proper factors sum to 2244, which is 1068 more than 1176 itself.
• 1176 is a triangular number — it is the sum of the first 48 whole numbers (1 + 2 + … + 48 = 1176).
• 1176 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 1176 yourself

Divide 1176 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 √1176 ≈ 34.29, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. The factor calculator does this automatically for any number.