Q: What are the prime factors of the number 78,667,312?

 A: 2, 4916707

Why are those the prime factors of the number 78,667,312?

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 78,667,312

78,667,312
Factor Arrows
239,333,656
Factor Arrows
219,666,828
Factor Arrows
29,833,414
Factor Arrows
24,916,707

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, 4916707

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 4,916,707 = 78,667,312

This can also be written as 24 x 4,916,7071 = 78,667,312

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


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