Q: What are the prime factors of the number 97,065,288?

 A: 2, 3, 1348129

Why are those the prime factors of the number 97,065,288?

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 97,065,288

97,065,288
Factor Arrows
248,532,644
Factor Arrows
224,266,322
Factor Arrows
212,133,161
Factor Arrows
34,044,387
Factor Arrows
31,348,129

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, 1348129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,348,129 = 97,065,288

This can also be written as 23 x 32 x 1,348,1291 = 97,065,288

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


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