Q: What are the prime factors of the number 33,211,424?

 A: 2, 1037857

Why are those the prime factors of the number 33,211,424?

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 33,211,424

33,211,424
Factor Arrows
216,605,712
Factor Arrows
28,302,856
Factor Arrows
24,151,428
Factor Arrows
22,075,714
Factor Arrows
21,037,857

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, 1037857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,037,857 = 33,211,424

This can also be written as 25 x 1,037,8571 = 33,211,424

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


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