Factors of 1184
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, and 1184. In total, 1184 has 12 factors. Its prime factorization is 2⁵ × 37, and the sum of all its factors is 2394.
All factors of 1184
Here are all 12 factors of 1184, listed from smallest to largest.
Factor pairs of 1184
These 6 pairs of whole numbers each multiply to give 1184.
Prime factorization of 1184
Dividing 1184 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1184 are 2, 37. To factorize any other number, use the prime factorization calculator.
Factor tree of 1184
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1184
| Number of factors | 12 |
|---|---|
| Sum of factors | 2394 |
| Sum of proper factors | 1210 |
| Prime factorization | 2⁵ × 37 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1184 interesting
- 1184 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 1184 is an abundant number: its proper factors sum to 1210, which is 26 more than 1184 itself.
How to find the factors of 1184 yourself
Divide 1184 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 √1184 ≈ 34.41, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1184.
Frequently asked questions about 1184
What are the factors of 1184?
Is 1184 a prime number?
What is the prime factorization of 1184?
What two numbers multiply to give 1184?
What is the sum of the factors of 1184?
Is 1184 a perfect square?
What is the largest factor of 1184 other than itself?
How many factors does 1184 have?
Explore more
Try another number in the factor calculator, break 1184 down further with the prime factorization calculator, or compare 1184 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.