Q: What are the prime factors of the number 16,813,390?

 A: 2, 5, 11, 353, 433

Why are those the prime factors of the number 16,813,390?

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 16,813,390

16,813,390
Factor Arrows
28,406,695
Factor Arrows
51,681,339
Factor Arrows
11152,849
Factor Arrows
353433

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, 5, 11, 353, 433

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 353 x 433 = 16,813,390

This can also be written as 21 x 51 x 111 x 3531 x 4331 = 16,813,390

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


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