Q: What are the prime factors of the number 225,105,118?

 A: 2, 7, 269, 8539

Why are those the prime factors of the number 225,105,118?

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 225,105,118

225,105,118
Factor Arrows
2112,552,559
Factor Arrows
716,078,937
Factor Arrows
72,296,991
Factor Arrows
2698,539

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, 7, 269, 8539

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 269 x 8,539 = 225,105,118

This can also be written as 21 x 72 x 2691 x 8,5391 = 225,105,118

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


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