Q: What are the prime factors of the number 15,385,238?

 A: 2, 11, 17, 31, 1327

Why are those the prime factors of the number 15,385,238?

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 15,385,238

15,385,238
Factor Arrows
27,692,619
Factor Arrows
11699,329
Factor Arrows
1741,137
Factor Arrows
311,327

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, 11, 17, 31, 1327

We can check our work by multiplying all of the prime factors together: 2 x 11 x 17 x 31 x 1,327 = 15,385,238

This can also be written as 21 x 111 x 171 x 311 x 1,3271 = 15,385,238

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


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