Q: What are the prime factors of the number 14,012,416?

 A: 2, 11, 311

Why are those the prime factors of the number 14,012,416?

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 14,012,416

14,012,416
Factor Arrows
27,006,208
Factor Arrows
23,503,104
Factor Arrows
21,751,552
Factor Arrows
2875,776
Factor Arrows
2437,888
Factor Arrows
2218,944
Factor Arrows
2109,472
Factor Arrows
254,736
Factor Arrows
227,368
Factor Arrows
213,684
Factor Arrows
26,842
Factor Arrows
23,421
Factor Arrows
11311

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, 11, 311

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 2 x 2 x 2 x 2 x 11 x 311 = 14,012,416

This can also be written as 212 x 111 x 3111 = 14,012,416

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


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