Q: What are the prime factors of the number 15,018,474?

 A: 2, 3, 19, 47, 2803

Why are those the prime factors of the number 15,018,474?

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 15,018,474

15,018,474
Factor Arrows
27,509,237
Factor Arrows
32,503,079
Factor Arrows
19131,741
Factor Arrows
472,803

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, 47, 2803

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 47 x 2,803 = 15,018,474

This can also be written as 21 x 31 x 191 x 471 x 2,8031 = 15,018,474

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 15,018,474:


Ask a Question