Q: What are the prime factors of the number 11,231,101?

 A: 7, 17, 94379

Why are those the prime factors of the number 11,231,101?

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 11,231,101

11,231,101
Factor Arrows
71,604,443
Factor Arrows
1794,379

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:

7, 17, 94379

We can check our work by multiplying all of the prime factors together: 7 x 17 x 94,379 = 11,231,101

This can also be written as 71 x 171 x 94,3791 = 11,231,101

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


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