Q: What are the prime factors of the number 197,885,660?

 A: 2, 5, 7, 103, 13723

Why are those the prime factors of the number 197,885,660?

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 197,885,660

197,885,660
Factor Arrows
298,942,830
Factor Arrows
249,471,415
Factor Arrows
59,894,283
Factor Arrows
71,413,469
Factor Arrows
10313,723

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, 103, 13723

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 103 x 13,723 = 197,885,660

This can also be written as 22 x 51 x 71 x 1031 x 13,7231 = 197,885,660

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 197,885,660:


Ask a Question