Q: What are the prime factors of the number 33,235,816?

 A: 2, 17, 244381

Why are those the prime factors of the number 33,235,816?

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 33,235,816

33,235,816
Factor Arrows
216,617,908
Factor Arrows
28,308,954
Factor Arrows
24,154,477
Factor Arrows
17244,381

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, 17, 244381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 244,381 = 33,235,816

This can also be written as 23 x 171 x 244,3811 = 33,235,816

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


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