Q: What are the prime factors of the number 2,043,136?

 A: 2, 23, 347

Why are those the prime factors of the number 2,043,136?

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 2,043,136

2,043,136
Factor Arrows
21,021,568
Factor Arrows
2510,784
Factor Arrows
2255,392
Factor Arrows
2127,696
Factor Arrows
263,848
Factor Arrows
231,924
Factor Arrows
215,962
Factor Arrows
27,981
Factor Arrows
23347

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, 23, 347

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 2 x 23 x 347 = 2,043,136

This can also be written as 28 x 231 x 3471 = 2,043,136

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


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