Q: What are the prime factors of the number 14,210,568?

 A: 2, 3, 197369

Why are those the prime factors of the number 14,210,568?

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 14,210,568

14,210,568
Factor Arrows
27,105,284
Factor Arrows
23,552,642
Factor Arrows
21,776,321
Factor Arrows
3592,107
Factor Arrows
3197,369

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, 3, 197369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 197,369 = 14,210,568

This can also be written as 23 x 32 x 197,3691 = 14,210,568

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


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