Factors of 224
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, and 224. In total, 224 has 12 factors. Its prime factorization is 2⁵ × 7, and the sum of all its factors is 504.
All factors of 224
Here are all 12 factors of 224, listed from smallest to largest.
Factor pairs of 224
These 6 pairs of whole numbers each multiply to give 224.
Prime factorization of 224
Dividing 224 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 224 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 224
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 224
| Number of factors | 12 |
|---|---|
| Sum of factors | 504 |
| Sum of proper factors | 280 |
| Prime factorization | 2⁵ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 224 interesting
- 224 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.
- 224 is an abundant number: its proper factors sum to 280, which is 56 more than 224 itself.
How to find the factors of 224 yourself
Divide 224 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 √224 ≈ 14.97, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 224.
Frequently asked questions about 224
What are the factors of 224?
Is 224 a prime number?
What is the prime factorization of 224?
What two numbers multiply to give 224?
What is the sum of the factors of 224?
Is 224 a perfect square?
What is the largest factor of 224 other than itself?
How many factors does 224 have?
Explore more
Try another number in the factor calculator, break 224 down further with the prime factorization calculator, or compare 224 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.