Q: What are the prime factors of the number 14,500,998?

 A: 2, 3, 268537

Why are those the prime factors of the number 14,500,998?

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 14,500,998

14,500,998
Factor Arrows
27,250,499
Factor Arrows
32,416,833
Factor Arrows
3805,611
Factor Arrows
3268,537

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, 268537

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 268,537 = 14,500,998

This can also be written as 21 x 33 x 268,5371 = 14,500,998

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 14,500,998:


Ask a Question