Factors of 476
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, and 476. In total, 476 has 12 factors. Its prime factorization is 2² × 7 × 17, and the sum of all its factors is 1008.
All factors of 476
Here are all 12 factors of 476, listed from smallest to largest.
Factor pairs of 476
These 6 pairs of whole numbers each multiply to give 476.
Prime factorization of 476
Dividing 476 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 476 are 2, 7, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 476
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 476
| Number of factors | 12 |
|---|---|
| Sum of factors | 1008 |
| Sum of proper factors | 532 |
| Prime factorization | 2² × 7 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 476 interesting
- 476 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.
- 476 is an abundant number: its proper factors sum to 532, which is 56 more than 476 itself.
- 476 has 3 distinct prime factors (2, 7, 17), which is why it has so many divisors.
How to find the factors of 476 yourself
Divide 476 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 √476 ≈ 21.82, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 476.
Frequently asked questions about 476
What are the factors of 476?
Is 476 a prime number?
What is the prime factorization of 476?
What two numbers multiply to give 476?
What is the sum of the factors of 476?
Is 476 a perfect square?
What is the largest factor of 476 other than itself?
How many factors does 476 have?
Explore more
Try another number in the factor calculator, break 476 down further with the prime factorization calculator, or compare 476 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.