Q: What are the prime factors of the number 16,119,270?

 A: 2, 3, 5, 227, 263

Why are those the prime factors of the number 16,119,270?

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 16,119,270

16,119,270
Factor Arrows
28,059,635
Factor Arrows
32,686,545
Factor Arrows
3895,515
Factor Arrows
3298,505
Factor Arrows
559,701
Factor Arrows
227263

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, 5, 227, 263

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 227 x 263 = 16,119,270

This can also be written as 21 x 33 x 51 x 2271 x 2631 = 16,119,270

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


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