Factors of 1072
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, and 1072. In total, 1072 has 10 factors. Its prime factorization is 2⁴ × 67, and the sum of all its factors is 2108.
All factors of 1072
Here are all 10 factors of 1072, listed from smallest to largest.
Factor pairs of 1072
These 5 pairs of whole numbers each multiply to give 1072.
Prime factorization of 1072
Dividing 1072 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1072 are 2, 67. To factorize any other number, use the prime factorization calculator.
Factor tree of 1072
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1072
| Number of factors | 10 |
|---|---|
| Sum of factors | 2108 |
| Sum of proper factors | 1036 |
| Prime factorization | 2⁴ × 67 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1072 interesting
- 1072 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 1072 is a deficient number: its proper factors sum to 1036, which is 36 less than 1072 itself.
How to find the factors of 1072 yourself
Divide 1072 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 √1072 ≈ 32.74, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1072.
Frequently asked questions about 1072
What are the factors of 1072?
Is 1072 a prime number?
What is the prime factorization of 1072?
What two numbers multiply to give 1072?
What is the sum of the factors of 1072?
Is 1072 a perfect square?
What is the largest factor of 1072 other than itself?
How many factors does 1072 have?
Explore more
Try another number in the factor calculator, break 1072 down further with the prime factorization calculator, or compare 1072 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.