Q: What are the prime factors of the number 33,144,246?

 A: 2, 3, 19, 199, 487

Why are those the prime factors of the number 33,144,246?

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 33,144,246

33,144,246
Factor Arrows
216,572,123
Factor Arrows
35,524,041
Factor Arrows
31,841,347
Factor Arrows
1996,913
Factor Arrows
199487

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, 19, 199, 487

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 199 x 487 = 33,144,246

This can also be written as 21 x 32 x 191 x 1991 x 4871 = 33,144,246

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


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