Factors of 473
The factors of 473 are 1, 11, 43, and 473. In total, 473 has 4 factors. Its prime factorization is 11 × 43, and the sum of all its factors is 528.
All factors of 473
Here are all 4 factors of 473, listed from smallest to largest.
Factor pairs of 473
These 2 pairs of whole numbers each multiply to give 473.
Prime factorization of 473
Dividing 473 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 473 are 11, 43. To factorize any other number, use the prime factorization calculator.
Factor tree of 473
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 473
| Number of factors | 4 |
|---|---|
| Sum of factors | 528 |
| Sum of proper factors | 55 |
| Prime factorization | 11 × 43 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 473 interesting
- 473 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 473 is a deficient number: its proper factors sum to 55, which is 418 less than 473 itself.
How to find the factors of 473 yourself
Divide 473 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 √473 ≈ 21.75, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 43, 473. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 473.
Frequently asked questions about 473
What are the factors of 473?
Is 473 a prime number?
What is the prime factorization of 473?
What two numbers multiply to give 473?
What is the sum of the factors of 473?
Is 473 a perfect square?
What is the largest factor of 473 other than itself?
How many factors does 473 have?
Explore more
Try another number in the factor calculator, break 473 down further with the prime factorization calculator, or compare 473 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.