Q: What are the prime factors of the number 14,300,436?

 A: 2, 3, 1191703

Why are those the prime factors of the number 14,300,436?

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 14,300,436

14,300,436
Factor Arrows
27,150,218
Factor Arrows
23,575,109
Factor Arrows
31,191,703

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, 1191703

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 1,191,703 = 14,300,436

This can also be written as 22 x 31 x 1,191,7031 = 14,300,436

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


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