Factors of 1032
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, and 1032. In total, 1032 has 16 factors. Its prime factorization is 2³ × 3 × 43, and the sum of all its factors is 2640.
All factors of 1032
Here are all 16 factors of 1032, listed from smallest to largest.
Factor pairs of 1032
These 8 pairs of whole numbers each multiply to give 1032.
Prime factorization of 1032
Dividing 1032 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1032 are 2, 3, 43. To factorize any other number, use the prime factorization calculator.
Factor tree of 1032
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1032
| Number of factors | 16 |
|---|---|
| Sum of factors | 2640 |
| Sum of proper factors | 1608 |
| Prime factorization | 2³ × 3 × 43 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1032 interesting
- 1032 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.
- 1032 is an abundant number: its proper factors sum to 1608, which is 576 more than 1032 itself.
- 1032 has 3 distinct prime factors (2, 3, 43), which is why it has so many divisors.
How to find the factors of 1032 yourself
Divide 1032 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 √1032 ≈ 32.12, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1032.
Frequently asked questions about 1032
What are the factors of 1032?
Is 1032 a prime number?
What is the prime factorization of 1032?
What two numbers multiply to give 1032?
What is the sum of the factors of 1032?
Is 1032 a perfect square?
What is the largest factor of 1032 other than itself?
How many factors does 1032 have?
Explore more
Try another number in the factor calculator, break 1032 down further with the prime factorization calculator, or compare 1032 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.