Q: What are the prime factors of the number 17,076,512?

 A: 2, 533641

Why are those the prime factors of the number 17,076,512?

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 17,076,512

17,076,512
Factor Arrows
28,538,256
Factor Arrows
24,269,128
Factor Arrows
22,134,564
Factor Arrows
21,067,282
Factor Arrows
2533,641

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, 533641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 533,641 = 17,076,512

This can also be written as 25 x 533,6411 = 17,076,512

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


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