Factors of 1048
The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, and 1048. In total, 1048 has 8 factors. Its prime factorization is 2³ × 131, and the sum of all its factors is 1980.
All factors of 1048
Here are all 8 factors of 1048, listed from smallest to largest.
Factor pairs of 1048
These 4 pairs of whole numbers each multiply to give 1048.
Prime factorization of 1048
Dividing 1048 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1048 are 2, 131. To factorize any other number, use the prime factorization calculator.
Factor tree of 1048
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1048
| Number of factors | 8 |
|---|---|
| Sum of factors | 1980 |
| Sum of proper factors | 932 |
| Prime factorization | 2³ × 131 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1048 interesting
- 1048 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 1048 is a deficient number: its proper factors sum to 932, which is 116 less than 1048 itself.
How to find the factors of 1048 yourself
Divide 1048 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 √1048 ≈ 32.37, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 131, 262, 524, 1048. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1048.
Frequently asked questions about 1048
What are the factors of 1048?
Is 1048 a prime number?
What is the prime factorization of 1048?
What two numbers multiply to give 1048?
What is the sum of the factors of 1048?
Is 1048 a perfect square?
What is the largest factor of 1048 other than itself?
How many factors does 1048 have?
Explore more
Try another number in the factor calculator, break 1048 down further with the prime factorization calculator, or compare 1048 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.