Q: What are the prime factors of the number 14,275,136?

 A: 2, 223049

Why are those the prime factors of the number 14,275,136?

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 14,275,136

14,275,136
Factor Arrows
27,137,568
Factor Arrows
23,568,784
Factor Arrows
21,784,392
Factor Arrows
2892,196
Factor Arrows
2446,098
Factor Arrows
2223,049

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, 223049

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 223,049 = 14,275,136

This can also be written as 26 x 223,0491 = 14,275,136

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


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