Q: What are the prime factors of the number 226,032,648?

 A: 2, 3, 509, 18503

Why are those the prime factors of the number 226,032,648?

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 226,032,648

226,032,648
Factor Arrows
2113,016,324
Factor Arrows
256,508,162
Factor Arrows
228,254,081
Factor Arrows
39,418,027
Factor Arrows
50918,503

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, 509, 18503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 509 x 18,503 = 226,032,648

This can also be written as 23 x 31 x 5091 x 18,5031 = 226,032,648

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


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