Q: What are the prime factors of the number 99,672,282?

 A: 2, 3, 67, 3061

Why are those the prime factors of the number 99,672,282?

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 99,672,282

99,672,282
Factor Arrows
249,836,141
Factor Arrows
316,612,047
Factor Arrows
35,537,349
Factor Arrows
31,845,783
Factor Arrows
3615,261
Factor Arrows
3205,087
Factor Arrows
673,061

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, 67, 3061

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 67 x 3,061 = 99,672,282

This can also be written as 21 x 35 x 671 x 3,0611 = 99,672,282

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


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