Q: What are the prime factors of the number 88,105,288?

 A: 2, 17, 37, 17509

Why are those the prime factors of the number 88,105,288?

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 88,105,288

88,105,288
Factor Arrows
244,052,644
Factor Arrows
222,026,322
Factor Arrows
211,013,161
Factor Arrows
17647,833
Factor Arrows
3717,509

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, 17, 37, 17509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 37 x 17,509 = 88,105,288

This can also be written as 23 x 171 x 371 x 17,5091 = 88,105,288

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


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