Q: What are the prime factors of the number 212,350,252?

 A: 2, 37, 431, 3329

Why are those the prime factors of the number 212,350,252?

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 212,350,252

212,350,252
Factor Arrows
2106,175,126
Factor Arrows
253,087,563
Factor Arrows
371,434,799
Factor Arrows
4313,329

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, 431, 3329

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 431 x 3,329 = 212,350,252

This can also be written as 22 x 371 x 4311 x 3,3291 = 212,350,252

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


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