Factors of 1024
The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1024. In total, 1024 has 11 factors. Its prime factorization is 2¹⁰, and the sum of all its factors is 2047. 1024 is also a perfect square, equal to 32 × 32.
All factors of 1024
Here are all 11 factors of 1024, listed from smallest to largest.
Factor pairs of 1024
These 6 pairs of whole numbers each multiply to give 1024.
Notice the pair (32, 32) — because 1024 is a perfect square, this pair uses the same number twice.
Prime factorization of 1024
Dividing 1024 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1024 are 2. To factorize any other number, use the prime factorization calculator.
Factor tree of 1024
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1024
| Number of factors | 11 |
|---|---|
| Sum of factors | 2047 |
| Sum of proper factors | 1023 |
| Prime factorization | 2¹⁰ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | Yes (32²) |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1024 interesting
- 1024 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.
- 1024 is a perfect square: 32 × 32 = 1024. This is why it has an odd number of factors (11) — the pair (32, 32) counts only once.
- 1024 is a deficient number: its proper factors sum to 1023, which is 1 less than 1024 itself.
- 1024 is a prime power: it is 2 raised to the power of 10. All of its factors are powers of 2.
How to find the factors of 1024 yourself
Divide 1024 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 √1024 ≈ 32.00, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1024.
Frequently asked questions about 1024
What are the factors of 1024?
Is 1024 a prime number?
What is the prime factorization of 1024?
What two numbers multiply to give 1024?
What is the sum of the factors of 1024?
Is 1024 a perfect square?
What is the largest factor of 1024 other than itself?
How many factors does 1024 have?
Explore more
Try another number in the factor calculator, break 1024 down further with the prime factorization calculator, or compare 1024 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.