Q: What are the prime factors of the number 200,010?

 A: 2, 3, 5, 59, 113

Why are those the prime factors of the number 200,010?

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 200,010

200,010
Factor Arrows
2100,005
Factor Arrows
333,335
Factor Arrows
56,667
Factor Arrows
59113

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, 3, 5, 59, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 59 x 113 = 200,010

This can also be written as 21 x 31 x 51 x 591 x 1131 = 200,010

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 200,010:


Ask a Question