Q: What are the prime factors of the number 33,585,875?

 A: 5, 139, 1933

Why are those the prime factors of the number 33,585,875?

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 33,585,875

33,585,875
Factor Arrows
56,717,175
Factor Arrows
51,343,435
Factor Arrows
5268,687
Factor Arrows
1391,933

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, 139, 1933

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 139 x 1,933 = 33,585,875

This can also be written as 53 x 1391 x 1,9331 = 33,585,875

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


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