Factors of 448
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, and 448. In total, 448 has 14 factors. Its prime factorization is 2⁶ × 7, and the sum of all its factors is 1016.
All factors of 448
Here are all 14 factors of 448, listed from smallest to largest.
Factor pairs of 448
These 7 pairs of whole numbers each multiply to give 448.
Prime factorization of 448
Dividing 448 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 448 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 448
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 448
| Number of factors | 14 |
|---|---|
| Sum of factors | 1016 |
| Sum of proper factors | 568 |
| Prime factorization | 2⁶ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 448 interesting
- 448 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 7 different ways.
- 448 is an abundant number: its proper factors sum to 568, which is 120 more than 448 itself.
How to find the factors of 448 yourself
Divide 448 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 √448 ≈ 21.17, 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, 64, 112, 224, 448. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 448.
Frequently asked questions about 448
What are the factors of 448?
Is 448 a prime number?
What is the prime factorization of 448?
What two numbers multiply to give 448?
What is the sum of the factors of 448?
Is 448 a perfect square?
What is the largest factor of 448 other than itself?
How many factors does 448 have?
Explore more
Try another number in the factor calculator, break 448 down further with the prime factorization calculator, or compare 448 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.