Factor Calculator

Factors of 478

The factors of 478 are 1, 2, 239, and 478. In total, 478 has 4 factors. Its prime factorization is 2 × 239, and the sum of all its factors is 720.

All factors of 478

Here are all 4 factors of 478, listed from smallest to largest.

12239478

Factor pairs of 478

These 2 pairs of whole numbers each multiply to give 478.

1 × 478 = 478
2 × 239 = 478

Prime factorization of 478

Dividing 478 by the smallest prime at each step gives its prime factorization:

478 ÷ 2 = 239
239 ÷ 239 = 1
Result: 478 = 2 × 239 = 2 × 239

The distinct prime factors of 478 are 2, 239. To factorize any other number, use the prime factorization calculator.

Factor tree of 478

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 4784782239
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 478

Number of factors4
Sum of factors720
Sum of proper factors242
Prime factorization2 × 239
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 478 interesting

  • 478 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 478 is a deficient number: its proper factors sum to 242, which is 236 less than 478 itself.

How to find the factors of 478 yourself

Divide 478 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 √47821.86, because every factor above that pairs with one below it.

478 ÷ 1 = 478
478 ÷ 2 = 239

Reading both columns gives every factor: 1, 2, 239, 478. The factor calculator does this automatically for any number.

Frequently asked questions about 478

What are the factors of 478?

The factors of 478 are 1, 2, 239, and 478. That is 4 factors in total, counting both 1 and 478.

Is 478 a prime number?

No, 478 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 478 is also divisible by 2.

What is the prime factorization of 478?

The prime factorization of 478 is 2 × 239. Written out in full: 2 × 239 = 478. Its distinct prime factors are 2, 239.

What two numbers multiply to give 478?

There are 2 pairs of whole numbers that multiply to 478: 1 × 478, 2 × 239.

What is the sum of the factors of 478?

Adding all the factors of 478 together gives 720. Excluding 478 itself, the proper factors sum to 242.

Is 478 a perfect square?

No, 478 is not a perfect square. There is no whole number that multiplies by itself to give 478. The nearest perfect squares are 441 and 484.

What is the largest factor of 478 other than itself?

The largest factor of 478 apart from 478 itself is 239, since 478 ÷ 239 = 2.

How many factors does 478 have?

478 has 4 factors: 1, 2, 239, and 478. You can verify this from the prime factorization 2 × 239: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 478 down further with the prime factorization calculator, or compare 478 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.