Q: What are the prime factors of the number 15,875,514?

 A: 2, 3, 43, 53

Why are those the prime factors of the number 15,875,514?

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 15,875,514

15,875,514
Factor Arrows
27,937,757
Factor Arrows
32,645,919
Factor Arrows
3881,973
Factor Arrows
3293,991
Factor Arrows
397,997
Factor Arrows
432,279
Factor Arrows
4353

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, 43, 53

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 43 x 43 x 53 = 15,875,514

This can also be written as 21 x 34 x 432 x 531 = 15,875,514

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


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