Q: What are the prime factors of the number 82,014,112?

 A: 2, 2562941

Why are those the prime factors of the number 82,014,112?

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 82,014,112

82,014,112
Factor Arrows
241,007,056
Factor Arrows
220,503,528
Factor Arrows
210,251,764
Factor Arrows
25,125,882
Factor Arrows
22,562,941

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, 2562941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,562,941 = 82,014,112

This can also be written as 25 x 2,562,9411 = 82,014,112

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


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