Q: What are the prime factors of the number 21,076,650?

 A: 2, 3, 5, 7, 6691

Why are those the prime factors of the number 21,076,650?

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 21,076,650

21,076,650
Factor Arrows
210,538,325
Factor Arrows
33,512,775
Factor Arrows
31,170,925
Factor Arrows
5234,185
Factor Arrows
546,837
Factor Arrows
76,691

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, 5, 7, 6691

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 7 x 6,691 = 21,076,650

This can also be written as 21 x 32 x 52 x 71 x 6,6911 = 21,076,650

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


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