Q: What are the prime factors of the number 79,445,790?

 A: 2, 3, 5, 29, 61, 499

Why are those the prime factors of the number 79,445,790?

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 79,445,790

79,445,790
Factor Arrows
239,722,895
Factor Arrows
313,240,965
Factor Arrows
34,413,655
Factor Arrows
5882,731
Factor Arrows
2930,439
Factor Arrows
61499

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, 5, 29, 61, 499

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 29 x 61 x 499 = 79,445,790

This can also be written as 21 x 32 x 51 x 291 x 611 x 4991 = 79,445,790

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


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