Q: What are the prime factors of the number 467,256?

 A: 2, 3, 19469

Why are those the prime factors of the number 467,256?

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 467,256

467,256
Factor Arrows
2233,628
Factor Arrows
2116,814
Factor Arrows
258,407
Factor Arrows
319,469

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:

2, 3, 19469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 19,469 = 467,256

This can also be written as 23 x 31 x 19,4691 = 467,256

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 467,256:


Ask a Question