Q: What are the prime factors of the number 28,351,988?

 A: 2, 7, 17, 67, 127

Why are those the prime factors of the number 28,351,988?

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 28,351,988

28,351,988
Factor Arrows
214,175,994
Factor Arrows
27,087,997
Factor Arrows
71,012,571
Factor Arrows
7144,653
Factor Arrows
178,509
Factor Arrows
67127

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, 7, 17, 67, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 17 x 67 x 127 = 28,351,988

This can also be written as 22 x 72 x 171 x 671 x 1271 = 28,351,988

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 28,351,988:


Ask a Question