Q: What are the prime factors of the number 169,714,930?

 A: 2, 5, 7, 11, 23, 37

Why are those the prime factors of the number 169,714,930?

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 169,714,930

169,714,930
Factor Arrows
284,857,465
Factor Arrows
516,971,493
Factor Arrows
72,424,499
Factor Arrows
7346,357
Factor Arrows
1131,487
Factor Arrows
231,369
Factor Arrows
3737

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, 5, 7, 11, 23, 37

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 11 x 23 x 37 x 37 = 169,714,930

This can also be written as 21 x 51 x 72 x 111 x 231 x 372 = 169,714,930

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 169,714,930:


Ask a Question