Q: What are the prime factors of the number 67,558,976?

 A: 2, 1055609

Why are those the prime factors of the number 67,558,976?

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 67,558,976

67,558,976
Factor Arrows
233,779,488
Factor Arrows
216,889,744
Factor Arrows
28,444,872
Factor Arrows
24,222,436
Factor Arrows
22,111,218
Factor Arrows
21,055,609

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, 1055609

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 1,055,609 = 67,558,976

This can also be written as 26 x 1,055,6091 = 67,558,976

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


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