Q: What are the prime factors of the number 219,209,688?

 A: 2, 3, 19, 23, 6967

Why are those the prime factors of the number 219,209,688?

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 219,209,688

219,209,688
Factor Arrows
2109,604,844
Factor Arrows
254,802,422
Factor Arrows
227,401,211
Factor Arrows
39,133,737
Factor Arrows
33,044,579
Factor Arrows
19160,241
Factor Arrows
236,967

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, 19, 23, 6967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 23 x 6,967 = 219,209,688

This can also be written as 23 x 32 x 191 x 231 x 6,9671 = 219,209,688

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 219,209,688:


Ask a Question