Q: What are the prime factors of the number 15,021,750?

 A: 2, 3, 5, 20029

Why are those the prime factors of the number 15,021,750?

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 15,021,750

15,021,750
Factor Arrows
27,510,875
Factor Arrows
32,503,625
Factor Arrows
5500,725
Factor Arrows
5100,145
Factor Arrows
520,029

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, 5, 20029

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 20,029 = 15,021,750

This can also be written as 21 x 31 x 53 x 20,0291 = 15,021,750

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


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