Q: What are the prime factors of the number 33,305,052?

 A: 2, 3, 11, 191, 1321

Why are those the prime factors of the number 33,305,052?

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 33,305,052

33,305,052
Factor Arrows
216,652,526
Factor Arrows
28,326,263
Factor Arrows
32,775,421
Factor Arrows
11252,311
Factor Arrows
1911,321

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, 11, 191, 1321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 191 x 1,321 = 33,305,052

This can also be written as 22 x 31 x 111 x 1911 x 1,3211 = 33,305,052

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


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