Q: What are the prime factors of the number 288,121,195?

 A: 5, 71, 313, 2593

Why are those the prime factors of the number 288,121,195?

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 288,121,195

288,121,195
Factor Arrows
557,624,239
Factor Arrows
71811,609
Factor Arrows
3132,593

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:

5, 71, 313, 2593

We can check our work by multiplying all of the prime factors together: 5 x 71 x 313 x 2,593 = 288,121,195

This can also be written as 51 x 711 x 3131 x 2,5931 = 288,121,195

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 288,121,195:


Ask a Question