Q: What are the prime factors of the number 33,582,435?

 A: 3, 5, 29, 77201

Why are those the prime factors of the number 33,582,435?

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 33,582,435

33,582,435
Factor Arrows
311,194,145
Factor Arrows
52,238,829
Factor Arrows
2977,201

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, 29, 77201

We can check our work by multiplying all of the prime factors together: 3 x 5 x 29 x 77,201 = 33,582,435

This can also be written as 31 x 51 x 291 x 77,2011 = 33,582,435

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


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