Q: What are the prime factors of the number 79,290,534?

 A: 2, 3, 19, 829, 839

Why are those the prime factors of the number 79,290,534?

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 79,290,534

79,290,534
Factor Arrows
239,645,267
Factor Arrows
313,215,089
Factor Arrows
19695,531
Factor Arrows
829839

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, 19, 829, 839

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 829 x 839 = 79,290,534

This can also be written as 21 x 31 x 191 x 8291 x 8391 = 79,290,534

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


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