Q: What are the prime factors of the number 26,641,722?

 A: 2, 3, 53, 199, 421

Why are those the prime factors of the number 26,641,722?

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 26,641,722

26,641,722
Factor Arrows
213,320,861
Factor Arrows
34,440,287
Factor Arrows
5383,779
Factor Arrows
199421

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, 53, 199, 421

We can check our work by multiplying all of the prime factors together: 2 x 3 x 53 x 199 x 421 = 26,641,722

This can also be written as 21 x 31 x 531 x 1991 x 4211 = 26,641,722

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


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