Q: What are the prime factors of the number 80,507,008?

 A: 2, 43, 14627

Why are those the prime factors of the number 80,507,008?

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 80,507,008

80,507,008
Factor Arrows
240,253,504
Factor Arrows
220,126,752
Factor Arrows
210,063,376
Factor Arrows
25,031,688
Factor Arrows
22,515,844
Factor Arrows
21,257,922
Factor Arrows
2628,961
Factor Arrows
4314,627

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, 43, 14627

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 43 x 14,627 = 80,507,008

This can also be written as 27 x 431 x 14,6271 = 80,507,008

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


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