Q: What are the prime factors of the number 175,620,625?

 A: 5, 17, 16529

Why are those the prime factors of the number 175,620,625?

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 175,620,625

175,620,625
Factor Arrows
535,124,125
Factor Arrows
57,024,825
Factor Arrows
51,404,965
Factor Arrows
5280,993
Factor Arrows
1716,529

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:

5, 17, 16529

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 17 x 16,529 = 175,620,625

This can also be written as 54 x 171 x 16,5291 = 175,620,625

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


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