Q: What are the prime factors of the number 16,253,594?

 A: 2, 7, 23, 7211

Why are those the prime factors of the number 16,253,594?

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 16,253,594

16,253,594
Factor Arrows
28,126,797
Factor Arrows
71,160,971
Factor Arrows
7165,853
Factor Arrows
237,211

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, 7, 23, 7211

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 23 x 7,211 = 16,253,594

This can also be written as 21 x 72 x 231 x 7,2111 = 16,253,594

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


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