Q: What are the prime factors of the number 558,372,016?

 A: 2, 607, 57493

Why are those the prime factors of the number 558,372,016?

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 558,372,016

558,372,016
Factor Arrows
2279,186,008
Factor Arrows
2139,593,004
Factor Arrows
269,796,502
Factor Arrows
234,898,251
Factor Arrows
60757,493

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, 607, 57493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 607 x 57,493 = 558,372,016

This can also be written as 24 x 6071 x 57,4931 = 558,372,016

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


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