Q: What are the prime factors of the number 56,463?

 A: 3, 11, 29, 59

Why are those the prime factors of the number 56,463?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 56,463

56,463
Factor Arrows
318,821
Factor Arrows
111,711
Factor Arrows
2959

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 11, 29, 59

We can check our work by multiplying all of the prime factors together: 3 x 11 x 29 x 59 = 56,463

This can also be written as 31 x 111 x 291 x 591 = 56,463

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 56,463:


Ask a Question