Q: What are the prime factors of the number 16,106,715?

 A: 3, 5, 229, 521

Why are those the prime factors of the number 16,106,715?

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 16,106,715

16,106,715
Factor Arrows
35,368,905
Factor Arrows
31,789,635
Factor Arrows
3596,545
Factor Arrows
5119,309
Factor Arrows
229521

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:

3, 5, 229, 521

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 229 x 521 = 16,106,715

This can also be written as 33 x 51 x 2291 x 5211 = 16,106,715

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


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