Q: What are the prime factors of the number 225,215,320?

 A: 2, 5, 11, 17, 30109

Why are those the prime factors of the number 225,215,320?

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 225,215,320

225,215,320
Factor Arrows
2112,607,660
Factor Arrows
256,303,830
Factor Arrows
228,151,915
Factor Arrows
55,630,383
Factor Arrows
11511,853
Factor Arrows
1730,109

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, 5, 11, 17, 30109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 17 x 30,109 = 225,215,320

This can also be written as 23 x 51 x 111 x 171 x 30,1091 = 225,215,320

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


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