Q: What are the prime factors of the number 555,392?

 A: 2, 4339

Why are those the prime factors of the number 555,392?

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 555,392

555,392
Factor Arrows
2277,696
Factor Arrows
2138,848
Factor Arrows
269,424
Factor Arrows
234,712
Factor Arrows
217,356
Factor Arrows
28,678
Factor Arrows
24,339

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, 4339

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 2 x 4,339 = 555,392

This can also be written as 27 x 4,3391 = 555,392

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 555,392:


Ask a Question