Q: What are the prime factors of the number 5,181,848?

 A: 2, 7, 13219

Why are those the prime factors of the number 5,181,848?

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 5,181,848

5,181,848
Factor Arrows
22,590,924
Factor Arrows
21,295,462
Factor Arrows
2647,731
Factor Arrows
792,533
Factor Arrows
713,219

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, 7, 13219

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 13,219 = 5,181,848

This can also be written as 23 x 72 x 13,2191 = 5,181,848

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 5,181,848:


Ask a Question