Factor Calculator

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.

125104794235470

Factor pairs of 470

These 4 pairs of whole numbers each multiply to give 470.

1 × 470 = 470
2 × 235 = 470
5 × 94 = 470
10 × 47 = 470

Prime factorization of 470

Dividing 470 by the smallest prime at each step gives its prime factorization:

470 ÷ 2 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1
Result: 470 = 2 × 5 × 47 = 2 × 5 × 47

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.

Factor tree of 4704702235547
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 470

Number of factors8
Sum of factors864
Sum of proper factors394
Prime factorization2 × 5 × 47
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √47021.68, because every factor above that pairs with one below it.

470 ÷ 1 = 470
470 ÷ 2 = 235
470 ÷ 5 = 94
470 ÷ 10 = 47

Reading both columns gives every factor: 1, 2, 5, 10, 47, 94, 235, 470. The factor calculator does this automatically for any number.

Frequently asked questions about 470

What are the factors of 470?

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470. That is 8 factors in total, counting both 1 and 470.

Is 470 a prime number?

No, 470 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 470 is also divisible by 2.

What is the prime factorization of 470?

The prime factorization of 470 is 2 × 5 × 47. Written out in full: 2 × 5 × 47 = 470. Its distinct prime factors are 2, 5, 47.

What two numbers multiply to give 470?

There are 4 pairs of whole numbers that multiply to 470: 1 × 470, 2 × 235, 5 × 94, 10 × 47.

What is the sum of the factors of 470?

Adding all the factors of 470 together gives 864. Excluding 470 itself, the proper factors sum to 394.

Is 470 a perfect square?

No, 470 is not a perfect square. There is no whole number that multiplies by itself to give 470. The nearest perfect squares are 441 and 484.

What is the largest factor of 470 other than itself?

The largest factor of 470 apart from 470 itself is 235, since 470 ÷ 235 = 2.

How many factors does 470 have?

470 has 8 factors: 1, 2, 5, 10, 47, 94, 235, and 470. You can verify this from the prime factorization 2 × 5 × 47: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.