Q: What are the prime factors of the number 212,113,156?

 A: 2, 37, 67, 21391

Why are those the prime factors of the number 212,113,156?

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 212,113,156

212,113,156
Factor Arrows
2106,056,578
Factor Arrows
253,028,289
Factor Arrows
371,433,197
Factor Arrows
6721,391

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, 37, 67, 21391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 67 x 21,391 = 212,113,156

This can also be written as 22 x 371 x 671 x 21,3911 = 212,113,156

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


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