Q: What are the prime factors of the number 17,254,016?

 A: 2, 13, 10369

Why are those the prime factors of the number 17,254,016?

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 17,254,016

17,254,016
Factor Arrows
28,627,008
Factor Arrows
24,313,504
Factor Arrows
22,156,752
Factor Arrows
21,078,376
Factor Arrows
2539,188
Factor Arrows
2269,594
Factor Arrows
2134,797
Factor Arrows
1310,369

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, 13, 10369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 10,369 = 17,254,016

This can also be written as 27 x 131 x 10,3691 = 17,254,016

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


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