Factors of 1152
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, and 1152. In total, 1152 has 24 factors. Its prime factorization is 2⁷ × 3², and the sum of all its factors is 3315.
All factors of 1152
Here are all 24 factors of 1152, listed from smallest to largest.
Factor pairs of 1152
These 12 pairs of whole numbers each multiply to give 1152.
Prime factorization of 1152
Dividing 1152 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1152 are 2, 3. To factorize any other number, use the prime factorization calculator.
Factor tree of 1152
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1152
| Number of factors | 24 |
|---|---|
| Sum of factors | 3315 |
| Sum of proper factors | 2163 |
| Prime factorization | 2⁷ × 3² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1152 interesting
- 1152 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.
- 1152 is an abundant number: its proper factors sum to 2163, which is 1011 more than 1152 itself.
How to find the factors of 1152 yourself
Divide 1152 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 √1152 ≈ 33.94, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1152.
Frequently asked questions about 1152
What are the factors of 1152?
Is 1152 a prime number?
What is the prime factorization of 1152?
What two numbers multiply to give 1152?
What is the sum of the factors of 1152?
Is 1152 a perfect square?
What is the largest factor of 1152 other than itself?
How many factors does 1152 have?
Explore more
Try another number in the factor calculator, break 1152 down further with the prime factorization calculator, or compare 1152 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.