Q: What are the prime factors of the number 252,130,212?

 A: 2, 3, 2334539

Why are those the prime factors of the number 252,130,212?

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 252,130,212

252,130,212
Factor Arrows
2126,065,106
Factor Arrows
263,032,553
Factor Arrows
321,010,851
Factor Arrows
37,003,617
Factor Arrows
32,334,539

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, 2334539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 2,334,539 = 252,130,212

This can also be written as 22 x 33 x 2,334,5391 = 252,130,212

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


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