Q: What are the prime factors of the number 33,220,688?

 A: 2, 2076293

Why are those the prime factors of the number 33,220,688?

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 33,220,688

33,220,688
Factor Arrows
216,610,344
Factor Arrows
28,305,172
Factor Arrows
24,152,586
Factor Arrows
22,076,293

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, 2076293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,076,293 = 33,220,688

This can also be written as 24 x 2,076,2931 = 33,220,688

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


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