Q: What are the prime factors of the number 33,422,031?

 A: 3, 1237853

Why are those the prime factors of the number 33,422,031?

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 33,422,031

33,422,031
Factor Arrows
311,140,677
Factor Arrows
33,713,559
Factor Arrows
31,237,853

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, 1237853

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,237,853 = 33,422,031

This can also be written as 33 x 1,237,8531 = 33,422,031

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


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