Q: What are the prime factors of the number 5,095,488?

 A: 2, 3, 26539

Why are those the prime factors of the number 5,095,488?

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 5,095,488

5,095,488
Factor Arrows
22,547,744
Factor Arrows
21,273,872
Factor Arrows
2636,936
Factor Arrows
2318,468
Factor Arrows
2159,234
Factor Arrows
279,617
Factor Arrows
326,539

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, 26539

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 3 x 26,539 = 5,095,488

This can also be written as 26 x 31 x 26,5391 = 5,095,488

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 5,095,488:


Ask a Question