Q: What are the prime factors of the number 66,916,768?

 A: 2, 2091149

Why are those the prime factors of the number 66,916,768?

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 66,916,768

66,916,768
Factor Arrows
233,458,384
Factor Arrows
216,729,192
Factor Arrows
28,364,596
Factor Arrows
24,182,298
Factor Arrows
22,091,149

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, 2091149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,091,149 = 66,916,768

This can also be written as 25 x 2,091,1491 = 66,916,768

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


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