Q: What are the prime factors of the number 77,714,667?

 A: 3, 17, 169313

Why are those the prime factors of the number 77,714,667?

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 77,714,667

77,714,667
Factor Arrows
325,904,889
Factor Arrows
38,634,963
Factor Arrows
32,878,321
Factor Arrows
17169,313

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, 17, 169313

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 17 x 169,313 = 77,714,667

This can also be written as 33 x 171 x 169,3131 = 77,714,667

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


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