Q: What are the prime factors of the number 102,411,672?

 A: 2, 3, 11, 17, 19, 1201

Why are those the prime factors of the number 102,411,672?

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 102,411,672

102,411,672
Factor Arrows
251,205,836
Factor Arrows
225,602,918
Factor Arrows
212,801,459
Factor Arrows
34,267,153
Factor Arrows
11387,923
Factor Arrows
1722,819
Factor Arrows
191,201

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, 11, 17, 19, 1201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 17 x 19 x 1,201 = 102,411,672

This can also be written as 23 x 31 x 111 x 171 x 191 x 1,2011 = 102,411,672

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


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