Q: What are the prime factors of the number 469,548?

 A: 2, 3, 13043

Why are those the prime factors of the number 469,548?

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 469,548

469,548
Factor Arrows
2234,774
Factor Arrows
2117,387
Factor Arrows
339,129
Factor Arrows
313,043

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, 13043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13,043 = 469,548

This can also be written as 22 x 32 x 13,0431 = 469,548

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 469,548:


Ask a Question