Factors of 470
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470. In total, 470 has 8 factors. Its prime factorization is 2 × 5 × 47, and the sum of all its factors is 864.
All factors of 470
Here are all 8 factors of 470, listed from smallest to largest.
Factor pairs of 470
These 4 pairs of whole numbers each multiply to give 470.
Prime factorization of 470
Dividing 470 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 470 are 2, 5, 47. To factorize any other number, use the prime factorization calculator.
Factor tree of 470
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 470
| Number of factors | 8 |
|---|---|
| Sum of factors | 864 |
| Sum of proper factors | 394 |
| Prime factorization | 2 × 5 × 47 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 470 interesting
- 470 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.
- 470 is a deficient number: its proper factors sum to 394, which is 76 less than 470 itself.
- 470 has 3 distinct prime factors (2, 5, 47), which is why it has so many divisors.
How to find the factors of 470 yourself
Divide 470 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 √470 ≈ 21.68, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 47, 94, 235, 470. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 470.
Frequently asked questions about 470
What are the factors of 470?
Is 470 a prime number?
What is the prime factorization of 470?
What two numbers multiply to give 470?
What is the sum of the factors of 470?
Is 470 a perfect square?
What is the largest factor of 470 other than itself?
How many factors does 470 have?
Explore more
Try another number in the factor calculator, break 470 down further with the prime factorization calculator, or compare 470 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.