Q: What are the prime factors of the number 4,043,136?

 A: 2, 3, 10529

Why are those the prime factors of the number 4,043,136?

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 4,043,136

4,043,136
Factor Arrows
22,021,568
Factor Arrows
21,010,784
Factor Arrows
2505,392
Factor Arrows
2252,696
Factor Arrows
2126,348
Factor Arrows
263,174
Factor Arrows
231,587
Factor Arrows
310,529

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, 10529

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 3 x 10,529 = 4,043,136

This can also be written as 27 x 31 x 10,5291 = 4,043,136

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


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