Factors of 474
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474. In total, 474 has 8 factors. Its prime factorization is 2 × 3 × 79, and the sum of all its factors is 960.
All factors of 474
Here are all 8 factors of 474, listed from smallest to largest.
Factor pairs of 474
These 4 pairs of whole numbers each multiply to give 474.
Prime factorization of 474
Dividing 474 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 474 are 2, 3, 79. To factorize any other number, use the prime factorization calculator.
Factor tree of 474
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 474
| Number of factors | 8 |
|---|---|
| Sum of factors | 960 |
| Sum of proper factors | 486 |
| Prime factorization | 2 × 3 × 79 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 474 interesting
- 474 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.
- 474 is an abundant number: its proper factors sum to 486, which is 12 more than 474 itself.
- 474 has 3 distinct prime factors (2, 3, 79), which is why it has so many divisors.
How to find the factors of 474 yourself
Divide 474 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 √474 ≈ 21.77, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 79, 158, 237, 474. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 474.
Frequently asked questions about 474
What are the factors of 474?
Is 474 a prime number?
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What two numbers multiply to give 474?
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Is 474 a perfect square?
What is the largest factor of 474 other than itself?
How many factors does 474 have?
Explore more
Try another number in the factor calculator, break 474 down further with the prime factorization calculator, or compare 474 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.