Q: What are the prime factors of the number 125,415,225?

 A: 3, 5, 13, 53, 809

Why are those the prime factors of the number 125,415,225?

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 125,415,225

125,415,225
Factor Arrows
341,805,075
Factor Arrows
313,935,025
Factor Arrows
52,787,005
Factor Arrows
5557,401
Factor Arrows
1342,877
Factor Arrows
53809

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, 13, 53, 809

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 13 x 53 x 809 = 125,415,225

This can also be written as 32 x 52 x 131 x 531 x 8091 = 125,415,225

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


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