Q: What are the prime factors of the number 16,562,826?

 A: 2, 3, 7, 43, 1019

Why are those the prime factors of the number 16,562,826?

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 16,562,826

16,562,826
Factor Arrows
28,281,413
Factor Arrows
32,760,471
Factor Arrows
3920,157
Factor Arrows
3306,719
Factor Arrows
743,817
Factor Arrows
431,019

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, 3, 7, 43, 1019

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 43 x 1,019 = 16,562,826

This can also be written as 21 x 33 x 71 x 431 x 1,0191 = 16,562,826

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


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