Q: What are the prime factors of the number 554,350,144?

 A: 2, 17, 509513

Why are those the prime factors of the number 554,350,144?

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 554,350,144

554,350,144
Factor Arrows
2277,175,072
Factor Arrows
2138,587,536
Factor Arrows
269,293,768
Factor Arrows
234,646,884
Factor Arrows
217,323,442
Factor Arrows
28,661,721
Factor Arrows
17509,513

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, 17, 509513

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 17 x 509,513 = 554,350,144

This can also be written as 26 x 171 x 509,5131 = 554,350,144

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


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