Q: What are the prime factors of the number 80,350,784?

 A: 2, 197, 6373

Why are those the prime factors of the number 80,350,784?

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 80,350,784

80,350,784
Factor Arrows
240,175,392
Factor Arrows
220,087,696
Factor Arrows
210,043,848
Factor Arrows
25,021,924
Factor Arrows
22,510,962
Factor Arrows
21,255,481
Factor Arrows
1976,373

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, 197, 6373

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 197 x 6,373 = 80,350,784

This can also be written as 26 x 1971 x 6,3731 = 80,350,784

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


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