Factor Calculator

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.

123679158237474

Factor pairs of 474

These 4 pairs of whole numbers each multiply to give 474.

1 × 474 = 474
2 × 237 = 474
3 × 158 = 474
6 × 79 = 474

Prime factorization of 474

Dividing 474 by the smallest prime at each step gives its prime factorization:

474 ÷ 2 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
Result: 474 = 2 × 3 × 79 = 2 × 3 × 79

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.

Factor tree of 4744742237379
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 474

Number of factors8
Sum of factors960
Sum of proper factors486
Prime factorization2 × 3 × 79
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

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 √47421.77, because every factor above that pairs with one below it.

474 ÷ 1 = 474
474 ÷ 2 = 237
474 ÷ 3 = 158
474 ÷ 6 = 79

Reading both columns gives every factor: 1, 2, 3, 6, 79, 158, 237, 474. The factor calculator does this automatically for any number.

Frequently asked questions about 474

What are the factors of 474?

The factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474. That is 8 factors in total, counting both 1 and 474.

Is 474 a prime number?

No, 474 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 474 is also divisible by 2.

What is the prime factorization of 474?

The prime factorization of 474 is 2 × 3 × 79. Written out in full: 2 × 3 × 79 = 474. Its distinct prime factors are 2, 3, 79.

What two numbers multiply to give 474?

There are 4 pairs of whole numbers that multiply to 474: 1 × 474, 2 × 237, 3 × 158, 6 × 79.

What is the sum of the factors of 474?

Adding all the factors of 474 together gives 960. Excluding 474 itself, the proper factors sum to 486.

Is 474 a perfect square?

No, 474 is not a perfect square. There is no whole number that multiplies by itself to give 474. The nearest perfect squares are 441 and 484.

What is the largest factor of 474 other than itself?

The largest factor of 474 apart from 474 itself is 237, since 474 ÷ 237 = 2.

How many factors does 474 have?

474 has 8 factors: 1, 2, 3, 6, 79, 158, 237, and 474. You can verify this from the prime factorization 2 × 3 × 79: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.