Q: What are the prime factors of the number 79,419,060?

 A: 2, 3, 5, 7, 63031

Why are those the prime factors of the number 79,419,060?

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 79,419,060

79,419,060
Factor Arrows
239,709,530
Factor Arrows
219,854,765
Factor Arrows
36,618,255
Factor Arrows
32,206,085
Factor Arrows
5441,217
Factor Arrows
763,031

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, 7, 63031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 63,031 = 79,419,060

This can also be written as 22 x 32 x 51 x 71 x 63,0311 = 79,419,060

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


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