Q: What are the prime factors of the number 25,767,705?

 A: 3, 5, 19, 23, 3931

Why are those the prime factors of the number 25,767,705?

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 25,767,705

25,767,705
Factor Arrows
38,589,235
Factor Arrows
51,717,847
Factor Arrows
1990,413
Factor Arrows
233,931

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:

3, 5, 19, 23, 3931

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 23 x 3,931 = 25,767,705

This can also be written as 31 x 51 x 191 x 231 x 3,9311 = 25,767,705

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


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