Q: What are the prime factors of the number 97,821,486?

 A: 2, 3, 7, 258787

Why are those the prime factors of the number 97,821,486?

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 97,821,486

97,821,486
Factor Arrows
248,910,743
Factor Arrows
316,303,581
Factor Arrows
35,434,527
Factor Arrows
31,811,509
Factor Arrows
7258,787

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, 7, 258787

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 258,787 = 97,821,486

This can also be written as 21 x 33 x 71 x 258,7871 = 97,821,486

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


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