Q: What are the prime factors of the number 2,942,016?

 A: 2, 3, 7, 11, 199

Why are those the prime factors of the number 2,942,016?

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 2,942,016

2,942,016
Factor Arrows
21,471,008
Factor Arrows
2735,504
Factor Arrows
2367,752
Factor Arrows
2183,876
Factor Arrows
291,938
Factor Arrows
245,969
Factor Arrows
315,323
Factor Arrows
72,189
Factor Arrows
11199

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, 7, 11, 199

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 7 x 11 x 199 = 2,942,016

This can also be written as 26 x 31 x 71 x 111 x 1991 = 2,942,016

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


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