Q: What are the prime factors of the number 201,550,475?

 A: 5, 7, 164531

Why are those the prime factors of the number 201,550,475?

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 201,550,475

201,550,475
Factor Arrows
540,310,095
Factor Arrows
58,062,019
Factor Arrows
71,151,717
Factor Arrows
7164,531

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, 7, 164531

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 7 x 164,531 = 201,550,475

This can also be written as 52 x 72 x 164,5311 = 201,550,475

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 201,550,475:


Ask a Question