Q: What are the prime factors of the number 25,415,360?

 A: 2, 5, 79423

Why are those the prime factors of the number 25,415,360?

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 25,415,360

25,415,360
Factor Arrows
212,707,680
Factor Arrows
26,353,840
Factor Arrows
23,176,920
Factor Arrows
21,588,460
Factor Arrows
2794,230
Factor Arrows
2397,115
Factor Arrows
579,423

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, 5, 79423

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79,423 = 25,415,360

This can also be written as 26 x 51 x 79,4231 = 25,415,360

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 25,415,360:


Ask a Question