Q: What are the prime factors of the number 212,456,043?

 A: 3, 19, 79, 15727

Why are those the prime factors of the number 212,456,043?

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 212,456,043

212,456,043
Factor Arrows
370,818,681
Factor Arrows
323,606,227
Factor Arrows
191,242,433
Factor Arrows
7915,727

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, 19, 79, 15727

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 79 x 15,727 = 212,456,043

This can also be written as 32 x 191 x 791 x 15,7271 = 212,456,043

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


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