Q: What are the prime factors of the number 16,079,830?

 A: 2, 5, 13, 37, 3343

Why are those the prime factors of the number 16,079,830?

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 16,079,830

16,079,830
Factor Arrows
28,039,915
Factor Arrows
51,607,983
Factor Arrows
13123,691
Factor Arrows
373,343

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, 13, 37, 3343

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 37 x 3,343 = 16,079,830

This can also be written as 21 x 51 x 131 x 371 x 3,3431 = 16,079,830

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


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