Q: What are the prime factors of the number 26,974,592?

 A: 2, 210739

Why are those the prime factors of the number 26,974,592?

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 26,974,592

26,974,592
Factor Arrows
213,487,296
Factor Arrows
26,743,648
Factor Arrows
23,371,824
Factor Arrows
21,685,912
Factor Arrows
2842,956
Factor Arrows
2421,478
Factor Arrows
2210,739

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, 210739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 210,739 = 26,974,592

This can also be written as 27 x 210,7391 = 26,974,592

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


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