Q: What are the prime factors of the number 26,458,744?

 A: 2, 13, 47, 5413

Why are those the prime factors of the number 26,458,744?

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 26,458,744

26,458,744
Factor Arrows
213,229,372
Factor Arrows
26,614,686
Factor Arrows
23,307,343
Factor Arrows
13254,411
Factor Arrows
475,413

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, 13, 47, 5413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 47 x 5,413 = 26,458,744

This can also be written as 23 x 131 x 471 x 5,4131 = 26,458,744

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 26,458,744:


Ask a Question