Q: What are the prime factors of the number 33,880,014?

 A: 2, 3, 7, 17, 15817

Why are those the prime factors of the number 33,880,014?

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 33,880,014

33,880,014
Factor Arrows
216,940,007
Factor Arrows
35,646,669
Factor Arrows
31,882,223
Factor Arrows
7268,889
Factor Arrows
1715,817

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, 7, 17, 15817

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 17 x 15,817 = 33,880,014

This can also be written as 21 x 32 x 71 x 171 x 15,8171 = 33,880,014

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


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