Q: What are the prime factors of the number 16,114,448?

 A: 2, 7, 143879

Why are those the prime factors of the number 16,114,448?

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 16,114,448

16,114,448
Factor Arrows
28,057,224
Factor Arrows
24,028,612
Factor Arrows
22,014,306
Factor Arrows
21,007,153
Factor Arrows
7143,879

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, 143879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 143,879 = 16,114,448

This can also be written as 24 x 71 x 143,8791 = 16,114,448

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


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