Q: What are the prime factors of the number 92,348,696?

 A: 2, 11, 401, 2617

Why are those the prime factors of the number 92,348,696?

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 92,348,696

92,348,696
Factor Arrows
246,174,348
Factor Arrows
223,087,174
Factor Arrows
211,543,587
Factor Arrows
111,049,417
Factor Arrows
4012,617

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, 11, 401, 2617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 401 x 2,617 = 92,348,696

This can also be written as 23 x 111 x 4011 x 2,6171 = 92,348,696

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


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