Q: What are the prime factors of the number 26,252,718?

 A: 2, 3, 19, 421, 547

Why are those the prime factors of the number 26,252,718?

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 26,252,718

26,252,718
Factor Arrows
213,126,359
Factor Arrows
34,375,453
Factor Arrows
19230,287
Factor Arrows
421547

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, 19, 421, 547

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 421 x 547 = 26,252,718

This can also be written as 21 x 31 x 191 x 4211 x 5471 = 26,252,718

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


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