Q: What are the prime factors of the number 14,052,933?

 A: 3, 37, 521

Why are those the prime factors of the number 14,052,933?

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 14,052,933

14,052,933
Factor Arrows
34,684,311
Factor Arrows
31,561,437
Factor Arrows
3520,479
Factor Arrows
3173,493
Factor Arrows
357,831
Factor Arrows
319,277
Factor Arrows
37521

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:

3, 37, 521

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 37 x 521 = 14,052,933

This can also be written as 36 x 371 x 5211 = 14,052,933

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


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