Q: What are the prime factors of the number 79,662,096?

 A: 2, 3, 61, 3023

Why are those the prime factors of the number 79,662,096?

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 79,662,096

79,662,096
Factor Arrows
239,831,048
Factor Arrows
219,915,524
Factor Arrows
29,957,762
Factor Arrows
24,978,881
Factor Arrows
31,659,627
Factor Arrows
3553,209
Factor Arrows
3184,403
Factor Arrows
613,023

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, 61, 3023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 61 x 3,023 = 79,662,096

This can also be written as 24 x 33 x 611 x 3,0231 = 79,662,096

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


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