Q: What are the prime factors of the number 16,436,034?

 A: 2, 3, 11273

Why are those the prime factors of the number 16,436,034?

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 16,436,034

16,436,034
Factor Arrows
28,218,017
Factor Arrows
32,739,339
Factor Arrows
3913,113
Factor Arrows
3304,371
Factor Arrows
3101,457
Factor Arrows
333,819
Factor Arrows
311,273

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, 11273

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11,273 = 16,436,034

This can also be written as 21 x 36 x 11,2731 = 16,436,034

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


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