Q: What are the prime factors of the number 223,435,665?

 A: 3, 5, 551693

Why are those the prime factors of the number 223,435,665?

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 223,435,665

223,435,665
Factor Arrows
374,478,555
Factor Arrows
324,826,185
Factor Arrows
38,275,395
Factor Arrows
32,758,465
Factor Arrows
5551,693

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:

3, 5, 551693

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 551,693 = 223,435,665

This can also be written as 34 x 51 x 551,6931 = 223,435,665

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


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