Q: What are the prime factors of the number 80,915,680?

 A: 2, 5, 19, 43, 619

Why are those the prime factors of the number 80,915,680?

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 80,915,680

80,915,680
Factor Arrows
240,457,840
Factor Arrows
220,228,920
Factor Arrows
210,114,460
Factor Arrows
25,057,230
Factor Arrows
22,528,615
Factor Arrows
5505,723
Factor Arrows
1926,617
Factor Arrows
43619

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, 5, 19, 43, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 19 x 43 x 619 = 80,915,680

This can also be written as 25 x 51 x 191 x 431 x 6191 = 80,915,680

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


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