Q: What are the prime factors of the number 33,213,040?

 A: 2, 5, 7, 127, 467

Why are those the prime factors of the number 33,213,040?

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 33,213,040

33,213,040
Factor Arrows
216,606,520
Factor Arrows
28,303,260
Factor Arrows
24,151,630
Factor Arrows
22,075,815
Factor Arrows
5415,163
Factor Arrows
759,309
Factor Arrows
127467

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, 5, 7, 127, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 127 x 467 = 33,213,040

This can also be written as 24 x 51 x 71 x 1271 x 4671 = 33,213,040

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


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