Q: What are the prime factors of the number 25,507,446?

 A: 2, 3, 17, 250073

Why are those the prime factors of the number 25,507,446?

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 25,507,446

25,507,446
Factor Arrows
212,753,723
Factor Arrows
34,251,241
Factor Arrows
17250,073

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, 17, 250073

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 250,073 = 25,507,446

This can also be written as 21 x 31 x 171 x 250,0731 = 25,507,446

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


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