Q: What are the prime factors of the number 588,888?

 A: 2, 3, 8179

Why are those the prime factors of the number 588,888?

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 588,888

588,888
Factor Arrows
2294,444
Factor Arrows
2147,222
Factor Arrows
273,611
Factor Arrows
324,537
Factor Arrows
38,179

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, 8179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 8,179 = 588,888

This can also be written as 23 x 32 x 8,1791 = 588,888

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 588,888:


Ask a Question