Q: What are the prime factors of the number 211,302,112?

 A: 2, 7, 17, 7927

Why are those the prime factors of the number 211,302,112?

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 211,302,112

211,302,112
Factor Arrows
2105,651,056
Factor Arrows
252,825,528
Factor Arrows
226,412,764
Factor Arrows
213,206,382
Factor Arrows
26,603,191
Factor Arrows
7943,313
Factor Arrows
7134,759
Factor Arrows
177,927

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, 7, 17, 7927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 7 x 17 x 7,927 = 211,302,112

This can also be written as 25 x 72 x 171 x 7,9271 = 211,302,112

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


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