Q: What are the prime factors of the number 16,822,485?

 A: 3, 5, 73, 569

Why are those the prime factors of the number 16,822,485?

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 16,822,485

16,822,485
Factor Arrows
35,607,495
Factor Arrows
31,869,165
Factor Arrows
3623,055
Factor Arrows
3207,685
Factor Arrows
541,537
Factor Arrows
73569

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, 73, 569

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 73 x 569 = 16,822,485

This can also be written as 34 x 51 x 731 x 5691 = 16,822,485

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


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