Q: What are the prime factors of the number 212,252,463?

 A: 3, 17, 1387271

Why are those the prime factors of the number 212,252,463?

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 212,252,463

212,252,463
Factor Arrows
370,750,821
Factor Arrows
323,583,607
Factor Arrows
171,387,271

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:

3, 17, 1387271

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 1,387,271 = 212,252,463

This can also be written as 32 x 171 x 1,387,2711 = 212,252,463

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


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