Q: What are the prime factors of the number 15,190,840?

 A: 2, 5, 7, 227, 239

Why are those the prime factors of the number 15,190,840?

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 15,190,840

15,190,840
Factor Arrows
27,595,420
Factor Arrows
23,797,710
Factor Arrows
21,898,855
Factor Arrows
5379,771
Factor Arrows
754,253
Factor Arrows
227239

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, 5, 7, 227, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 227 x 239 = 15,190,840

This can also be written as 23 x 51 x 71 x 2271 x 2391 = 15,190,840

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


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