Q: What are the prime factors of the number 226,606,716?

 A: 2, 3, 7, 899233

Why are those the prime factors of the number 226,606,716?

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 226,606,716

226,606,716
Factor Arrows
2113,303,358
Factor Arrows
256,651,679
Factor Arrows
318,883,893
Factor Arrows
36,294,631
Factor Arrows
7899,233

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, 3, 7, 899233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 899,233 = 226,606,716

This can also be written as 22 x 32 x 71 x 899,2331 = 226,606,716

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


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