Q: What are the prime factors of the number 300,104,112?

 A: 2, 3, 7, 11, 81197

Why are those the prime factors of the number 300,104,112?

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 300,104,112

300,104,112
Factor Arrows
2150,052,056
Factor Arrows
275,026,028
Factor Arrows
237,513,014
Factor Arrows
218,756,507
Factor Arrows
36,252,169
Factor Arrows
7893,167
Factor Arrows
1181,197

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, 11, 81197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 11 x 81,197 = 300,104,112

This can also be written as 24 x 31 x 71 x 111 x 81,1971 = 300,104,112

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


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