Q: What are the prime factors of the number 96,967,932?

 A: 2, 3, 17, 475333

Why are those the prime factors of the number 96,967,932?

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 96,967,932

96,967,932
Factor Arrows
248,483,966
Factor Arrows
224,241,983
Factor Arrows
38,080,661
Factor Arrows
17475,333

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, 17, 475333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 475,333 = 96,967,932

This can also be written as 22 x 31 x 171 x 475,3331 = 96,967,932

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


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