Q: What are the prime factors of the number 79,017,792?

 A: 2, 3, 7, 37, 227

Why are those the prime factors of the number 79,017,792?

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 79,017,792

79,017,792
Factor Arrows
239,508,896
Factor Arrows
219,754,448
Factor Arrows
29,877,224
Factor Arrows
24,938,612
Factor Arrows
22,469,306
Factor Arrows
21,234,653
Factor Arrows
3411,551
Factor Arrows
758,793
Factor Arrows
78,399
Factor Arrows
37227

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, 3, 7, 37, 227

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 3 x 7 x 7 x 37 x 227 = 79,017,792

This can also be written as 26 x 31 x 72 x 371 x 2271 = 79,017,792

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


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