Q: What are the prime factors of the number 88,348,326?

 A: 2, 3, 11, 29, 31, 1489

Why are those the prime factors of the number 88,348,326?

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 88,348,326

88,348,326
Factor Arrows
244,174,163
Factor Arrows
314,724,721
Factor Arrows
111,338,611
Factor Arrows
2946,159
Factor Arrows
311,489

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, 11, 29, 31, 1489

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 29 x 31 x 1,489 = 88,348,326

This can also be written as 21 x 31 x 111 x 291 x 311 x 1,4891 = 88,348,326

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


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