Q: What are the prime factors of the number 555,936?

 A: 2, 3, 5791

Why are those the prime factors of the number 555,936?

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 555,936

555,936
Factor Arrows
2277,968
Factor Arrows
2138,984
Factor Arrows
269,492
Factor Arrows
234,746
Factor Arrows
217,373
Factor Arrows
35,791

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, 5791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5,791 = 555,936

This can also be written as 25 x 31 x 5,7911 = 555,936

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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