Q: What are the prime factors of the number 11,859,028?

 A: 2, 29, 102233

Why are those the prime factors of the number 11,859,028?

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 11,859,028

11,859,028
Factor Arrows
25,929,514
Factor Arrows
22,964,757
Factor Arrows
29102,233

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, 29, 102233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 29 x 102,233 = 11,859,028

This can also be written as 22 x 291 x 102,2331 = 11,859,028

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


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