Q: What are the prime factors of the number 16,064,445?

 A: 3, 5, 107, 10009

Why are those the prime factors of the number 16,064,445?

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 16,064,445

16,064,445
Factor Arrows
35,354,815
Factor Arrows
51,070,963
Factor Arrows
10710,009

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, 107, 10009

We can check our work by multiplying all of the prime factors together: 3 x 5 x 107 x 10,009 = 16,064,445

This can also be written as 31 x 51 x 1071 x 10,0091 = 16,064,445

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


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