Q: What are the prime factors of the number 23,458,768?

 A: 2, 19, 77167

Why are those the prime factors of the number 23,458,768?

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 23,458,768

23,458,768
Factor Arrows
211,729,384
Factor Arrows
25,864,692
Factor Arrows
22,932,346
Factor Arrows
21,466,173
Factor Arrows
1977,167

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, 19, 77167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 77,167 = 23,458,768

This can also be written as 24 x 191 x 77,1671 = 23,458,768

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 23,458,768:


Ask a Question