Q: What are the prime factors of the number 32,935,050?

 A: 2, 3, 5, 73189

Why are those the prime factors of the number 32,935,050?

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 32,935,050

32,935,050
Factor Arrows
216,467,525
Factor Arrows
35,489,175
Factor Arrows
31,829,725
Factor Arrows
5365,945
Factor Arrows
573,189

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:

2, 3, 5, 73189

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 73,189 = 32,935,050

This can also be written as 21 x 32 x 52 x 73,1891 = 32,935,050

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


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