Q: What are the prime factors of the number 99,486,440?

 A: 2, 5, 31, 80231

Why are those the prime factors of the number 99,486,440?

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 99,486,440

99,486,440
Factor Arrows
249,743,220
Factor Arrows
224,871,610
Factor Arrows
212,435,805
Factor Arrows
52,487,161
Factor Arrows
3180,231

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, 5, 31, 80231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 31 x 80,231 = 99,486,440

This can also be written as 23 x 51 x 311 x 80,2311 = 99,486,440

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


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