Q: What are the prime factors of the number 23,515,650?

 A: 2, 3, 5, 17419

Why are those the prime factors of the number 23,515,650?

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 23,515,650

23,515,650
Factor Arrows
211,757,825
Factor Arrows
33,919,275
Factor Arrows
31,306,425
Factor Arrows
3435,475
Factor Arrows
587,095
Factor Arrows
517,419

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, 5, 17419

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 17,419 = 23,515,650

This can also be written as 21 x 33 x 52 x 17,4191 = 23,515,650

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 23,515,650:


Ask a Question