Q: What are the prime factors of the number 25,740,866?

 A: 2, 41, 47, 6679

Why are those the prime factors of the number 25,740,866?

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 25,740,866

25,740,866
Factor Arrows
212,870,433
Factor Arrows
41313,913
Factor Arrows
476,679

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, 41, 47, 6679

We can check our work by multiplying all of the prime factors together: 2 x 41 x 47 x 6,679 = 25,740,866

This can also be written as 21 x 411 x 471 x 6,6791 = 25,740,866

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


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