Factors of 472
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, and 472. In total, 472 has 8 factors. Its prime factorization is 2³ × 59, and the sum of all its factors is 900.
All factors of 472
Here are all 8 factors of 472, listed from smallest to largest.
Factor pairs of 472
These 4 pairs of whole numbers each multiply to give 472.
Prime factorization of 472
Dividing 472 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 472 are 2, 59. To factorize any other number, use the prime factorization calculator.
Factor tree of 472
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 472
| Number of factors | 8 |
|---|---|
| Sum of factors | 900 |
| Sum of proper factors | 428 |
| Prime factorization | 2³ × 59 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 472 interesting
- 472 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 472 is a deficient number: its proper factors sum to 428, which is 44 less than 472 itself.
How to find the factors of 472 yourself
Divide 472 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 √472 ≈ 21.73, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 59, 118, 236, 472. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 472.
Frequently asked questions about 472
What are the factors of 472?
Is 472 a prime number?
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What two numbers multiply to give 472?
What is the sum of the factors of 472?
Is 472 a perfect square?
What is the largest factor of 472 other than itself?
How many factors does 472 have?
Explore more
Try another number in the factor calculator, break 472 down further with the prime factorization calculator, or compare 472 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.