Q: What are the prime factors of the number 17,180,248?

 A: 2, 571, 3761

Why are those the prime factors of the number 17,180,248?

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 17,180,248

17,180,248
Factor Arrows
28,590,124
Factor Arrows
24,295,062
Factor Arrows
22,147,531
Factor Arrows
5713,761

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, 571, 3761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 571 x 3,761 = 17,180,248

This can also be written as 23 x 5711 x 3,7611 = 17,180,248

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 17,180,248:


Ask a Question