Q: What are the prime factors of the number 27,041,350?

 A: 2, 5, 7, 77261

Why are those the prime factors of the number 27,041,350?

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 27,041,350

27,041,350
Factor Arrows
213,520,675
Factor Arrows
52,704,135
Factor Arrows
5540,827
Factor Arrows
777,261

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, 77261

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 77,261 = 27,041,350

This can also be written as 21 x 52 x 71 x 77,2611 = 27,041,350

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


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