Q: What are the prime factors of the number 80,579,232?

 A: 2, 3, 93263

Why are those the prime factors of the number 80,579,232?

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 80,579,232

80,579,232
Factor Arrows
240,289,616
Factor Arrows
220,144,808
Factor Arrows
210,072,404
Factor Arrows
25,036,202
Factor Arrows
22,518,101
Factor Arrows
3839,367
Factor Arrows
3279,789
Factor Arrows
393,263

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, 93263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 93,263 = 80,579,232

This can also be written as 25 x 33 x 93,2631 = 80,579,232

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


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