Factor Calculator

Factors of 455

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, and 455. In total, 455 has 8 factors. Its prime factorization is 5 × 7 × 13, and the sum of all its factors is 672.

All factors of 455

Here are all 8 factors of 455, listed from smallest to largest.

15713356591455

Factor pairs of 455

These 4 pairs of whole numbers each multiply to give 455.

1 × 455 = 455
5 × 91 = 455
7 × 65 = 455
13 × 35 = 455

Prime factorization of 455

Dividing 455 by the smallest prime at each step gives its prime factorization:

455 ÷ 5 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
Result: 455 = 5 × 7 × 13 = 5 × 7 × 13

The distinct prime factors of 455 are 5, 7, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 455

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

Factor tree of 455455591713
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 455

Number of factors8
Sum of factors672
Sum of proper factors217
Prime factorization5 × 7 × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 455 interesting

  • 455 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.
  • 455 is a deficient number: its proper factors sum to 217, which is 238 less than 455 itself.
  • 455 has 3 distinct prime factors (5, 7, 13), which is why it has so many divisors.

How to find the factors of 455 yourself

Divide 455 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 √45521.33, because every factor above that pairs with one below it.

455 ÷ 1 = 455
455 ÷ 5 = 91
455 ÷ 7 = 65
455 ÷ 13 = 35

Reading both columns gives every factor: 1, 5, 7, 13, 35, 65, 91, 455. The factor calculator does this automatically for any number.

Frequently asked questions about 455

What are the factors of 455?

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, and 455. That is 8 factors in total, counting both 1 and 455.

Is 455 a prime number?

No, 455 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 455 is also divisible by 5.

What is the prime factorization of 455?

The prime factorization of 455 is 5 × 7 × 13. Written out in full: 5 × 7 × 13 = 455. Its distinct prime factors are 5, 7, 13.

What two numbers multiply to give 455?

There are 4 pairs of whole numbers that multiply to 455: 1 × 455, 5 × 91, 7 × 65, 13 × 35.

What is the sum of the factors of 455?

Adding all the factors of 455 together gives 672. Excluding 455 itself, the proper factors sum to 217.

Is 455 a perfect square?

No, 455 is not a perfect square. There is no whole number that multiplies by itself to give 455. The nearest perfect squares are 441 and 484.

What is the largest factor of 455 other than itself?

The largest factor of 455 apart from 455 itself is 91, since 455 ÷ 91 = 5.

How many factors does 455 have?

455 has 8 factors: 1, 5, 7, 13, 35, 65, 91, and 455. You can verify this from the prime factorization 5 × 7 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 455 down further with the prime factorization calculator, or compare 455 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.