Q: What are the prime factors of the number 212,245,143?

 A: 3, 11, 19, 167, 2027

Why are those the prime factors of the number 212,245,143?

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 212,245,143

212,245,143
Factor Arrows
370,748,381
Factor Arrows
116,431,671
Factor Arrows
19338,509
Factor Arrows
1672,027

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, 11, 19, 167, 2027

We can check our work by multiplying all of the prime factors together: 3 x 11 x 19 x 167 x 2,027 = 212,245,143

This can also be written as 31 x 111 x 191 x 1671 x 2,0271 = 212,245,143

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


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