Q: What are the prime factors of the number 16,043,265?

 A: 3, 5, 7, 5659

Why are those the prime factors of the number 16,043,265?

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 16,043,265

16,043,265
Factor Arrows
35,347,755
Factor Arrows
31,782,585
Factor Arrows
3594,195
Factor Arrows
3198,065
Factor Arrows
539,613
Factor Arrows
75,659

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, 7, 5659

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 7 x 5,659 = 16,043,265

This can also be written as 34 x 51 x 71 x 5,6591 = 16,043,265

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


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