Q: What are the prime factors of the number 301,224,015?

 A: 3, 5, 29, 83, 103

Why are those the prime factors of the number 301,224,015?

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 301,224,015

301,224,015
Factor Arrows
3100,408,005
Factor Arrows
333,469,335
Factor Arrows
311,156,445
Factor Arrows
33,718,815
Factor Arrows
31,239,605
Factor Arrows
5247,921
Factor Arrows
298,549
Factor Arrows
83103

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:

3, 5, 29, 83, 103

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 29 x 83 x 103 = 301,224,015

This can also be written as 35 x 51 x 291 x 831 x 1031 = 301,224,015

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 301,224,015:


Ask a Question