Q: What are the prime factors of the number 135,543,225?

 A: 3, 5, 1807243

Why are those the prime factors of the number 135,543,225?

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 135,543,225

135,543,225
Factor Arrows
345,181,075
Factor Arrows
59,036,215
Factor Arrows
51,807,243

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, 1807243

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 1,807,243 = 135,543,225

This can also be written as 31 x 52 x 1,807,2431 = 135,543,225

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


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