Q: What are the prime factors of the number 82,404,288?

 A: 2, 3, 143063

Why are those the prime factors of the number 82,404,288?

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 82,404,288

82,404,288
Factor Arrows
241,202,144
Factor Arrows
220,601,072
Factor Arrows
210,300,536
Factor Arrows
25,150,268
Factor Arrows
22,575,134
Factor Arrows
21,287,567
Factor Arrows
3429,189
Factor Arrows
3143,063

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, 143063

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 3 x 3 x 143,063 = 82,404,288

This can also be written as 26 x 32 x 143,0631 = 82,404,288

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


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