Q: What are the prime factors of the number 201,201,214?

 A: 2, 43, 137, 17077

Why are those the prime factors of the number 201,201,214?

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 201,201,214

201,201,214
Factor Arrows
2100,600,607
Factor Arrows
432,339,549
Factor Arrows
13717,077

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, 43, 137, 17077

We can check our work by multiplying all of the prime factors together: 2 x 43 x 137 x 17,077 = 201,201,214

This can also be written as 21 x 431 x 1371 x 17,0771 = 201,201,214

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 201,201,214:


Ask a Question