Q: What are the prime factors of the number 33,373,368?

 A: 2, 3, 7, 23, 2879

Why are those the prime factors of the number 33,373,368?

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 33,373,368

33,373,368
Factor Arrows
216,686,684
Factor Arrows
28,343,342
Factor Arrows
24,171,671
Factor Arrows
31,390,557
Factor Arrows
3463,519
Factor Arrows
766,217
Factor Arrows
232,879

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, 23, 2879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 23 x 2,879 = 33,373,368

This can also be written as 23 x 32 x 71 x 231 x 2,8791 = 33,373,368

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


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