Q: What are the prime factors of the number 14,191,808?

 A: 2, 221747

Why are those the prime factors of the number 14,191,808?

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 14,191,808

14,191,808
Factor Arrows
27,095,904
Factor Arrows
23,547,952
Factor Arrows
21,773,976
Factor Arrows
2886,988
Factor Arrows
2443,494
Factor Arrows
2221,747

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, 221747

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 221,747 = 14,191,808

This can also be written as 26 x 221,7471 = 14,191,808

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


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