Q: What are the prime factors of the number 290,532?

 A: 2, 3, 11, 31, 71

Why are those the prime factors of the number 290,532?

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 290,532

290,532
Factor Arrows
2145,266
Factor Arrows
272,633
Factor Arrows
324,211
Factor Arrows
112,201
Factor Arrows
3171

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, 11, 31, 71

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 31 x 71 = 290,532

This can also be written as 22 x 31 x 111 x 311 x 711 = 290,532

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 290,532:


Ask a Question