Q: What are the prime factors of the number 76,105,071?

 A: 3, 7, 1208017

Why are those the prime factors of the number 76,105,071?

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 76,105,071

76,105,071
Factor Arrows
325,368,357
Factor Arrows
38,456,119
Factor Arrows
71,208,017

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, 7, 1208017

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 1,208,017 = 76,105,071

This can also be written as 32 x 71 x 1,208,0171 = 76,105,071

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


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