Q: What are the prime factors of the number 16,506,568?

 A: 2, 13, 29, 421

Why are those the prime factors of the number 16,506,568?

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 16,506,568

16,506,568
Factor Arrows
28,253,284
Factor Arrows
24,126,642
Factor Arrows
22,063,321
Factor Arrows
13158,717
Factor Arrows
1312,209
Factor Arrows
29421

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, 13, 29, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 13 x 29 x 421 = 16,506,568

This can also be written as 23 x 132 x 291 x 4211 = 16,506,568

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


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