Q: What are the prime factors of the number 15,185,258?

 A: 2, 11, 131, 479

Why are those the prime factors of the number 15,185,258?

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 15,185,258

15,185,258
Factor Arrows
27,592,629
Factor Arrows
11690,239
Factor Arrows
1162,749
Factor Arrows
131479

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, 131, 479

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 131 x 479 = 15,185,258

This can also be written as 21 x 112 x 1311 x 4791 = 15,185,258

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


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