Q: What are the prime factors of the number 16,716,784?

 A: 2, 7, 149257

Why are those the prime factors of the number 16,716,784?

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 16,716,784

16,716,784
Factor Arrows
28,358,392
Factor Arrows
24,179,196
Factor Arrows
22,089,598
Factor Arrows
21,044,799
Factor Arrows
7149,257

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, 149257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 149,257 = 16,716,784

This can also be written as 24 x 71 x 149,2571 = 16,716,784

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


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