Q: What are the prime factors of the number 555,136?

 A: 2, 4337

Why are those the prime factors of the number 555,136?

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 555,136

555,136
Factor Arrows
2277,568
Factor Arrows
2138,784
Factor Arrows
269,392
Factor Arrows
234,696
Factor Arrows
217,348
Factor Arrows
28,674
Factor Arrows
24,337

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, 4337

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 4,337 = 555,136

This can also be written as 27 x 4,3371 = 555,136

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


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