Q: What are the prime factors of the number 80,250,496?

 A: 2, 23, 27259

Why are those the prime factors of the number 80,250,496?

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 80,250,496

80,250,496
Factor Arrows
240,125,248
Factor Arrows
220,062,624
Factor Arrows
210,031,312
Factor Arrows
25,015,656
Factor Arrows
22,507,828
Factor Arrows
21,253,914
Factor Arrows
2626,957
Factor Arrows
2327,259

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, 23, 27259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 27,259 = 80,250,496

This can also be written as 27 x 231 x 27,2591 = 80,250,496

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


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