Q: What are the prime factors of the number 14,377,888?

 A: 2, 7, 64187

Why are those the prime factors of the number 14,377,888?

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 14,377,888

14,377,888
Factor Arrows
27,188,944
Factor Arrows
23,594,472
Factor Arrows
21,797,236
Factor Arrows
2898,618
Factor Arrows
2449,309
Factor Arrows
764,187

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, 7, 64187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 64,187 = 14,377,888

This can also be written as 25 x 71 x 64,1871 = 14,377,888

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


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