Q: What are the prime factors of the number 228,875,445?

 A: 3, 5, 5086121

Why are those the prime factors of the number 228,875,445?

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 228,875,445

228,875,445
Factor Arrows
376,291,815
Factor Arrows
325,430,605
Factor Arrows
55,086,121

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, 5086121

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5,086,121 = 228,875,445

This can also be written as 32 x 51 x 5,086,1211 = 228,875,445

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


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