Factors of 484
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484. In total, 484 has 9 factors. Its prime factorization is 2² × 11², and the sum of all its factors is 931. 484 is also a perfect square, equal to 22 × 22.
All factors of 484
Here are all 9 factors of 484, listed from smallest to largest.
Factor pairs of 484
These 5 pairs of whole numbers each multiply to give 484.
Notice the pair (22, 22) — because 484 is a perfect square, this pair uses the same number twice.
Prime factorization of 484
Dividing 484 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 484 are 2, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 484
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 484
| Number of factors | 9 |
|---|---|
| Sum of factors | 931 |
| Sum of proper factors | 447 |
| Prime factorization | 2² × 11² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | Yes (22²) |
| Perfect cube? | No |
| Classification | Deficient |
What makes 484 interesting
- 484 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.
- 484 is a perfect square: 22 × 22 = 484. This is why it has an odd number of factors (9) — the pair (22, 22) counts only once.
- 484 is a deficient number: its proper factors sum to 447, which is 37 less than 484 itself.
How to find the factors of 484 yourself
Divide 484 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 √484 ≈ 22.00, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 11, 22, 44, 121, 242, 484. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 484.
Frequently asked questions about 484
What are the factors of 484?
Is 484 a prime number?
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What two numbers multiply to give 484?
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Is 484 a perfect square?
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How many factors does 484 have?
Explore more
Try another number in the factor calculator, break 484 down further with the prime factorization calculator, or compare 484 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.