Q: What are the prime factors of the number 16,364,270?

 A: 2, 5, 13, 23, 421

Why are those the prime factors of the number 16,364,270?

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 16,364,270

16,364,270
Factor Arrows
28,182,135
Factor Arrows
51,636,427
Factor Arrows
13125,879
Factor Arrows
139,683
Factor Arrows
23421

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, 23, 421

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 13 x 23 x 421 = 16,364,270

This can also be written as 21 x 51 x 132 x 231 x 4211 = 16,364,270

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


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