Q: What are the prime factors of the number 33,438,676?

 A: 2, 37, 101, 2237

Why are those the prime factors of the number 33,438,676?

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 33,438,676

33,438,676
Factor Arrows
216,719,338
Factor Arrows
28,359,669
Factor Arrows
37225,937
Factor Arrows
1012,237

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, 37, 101, 2237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 101 x 2,237 = 33,438,676

This can also be written as 22 x 371 x 1011 x 2,2371 = 33,438,676

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


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