Q: What are the prime factors of the number 212,040,006?

 A: 2, 3, 101, 131, 2671

Why are those the prime factors of the number 212,040,006?

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 212,040,006

212,040,006
Factor Arrows
2106,020,003
Factor Arrows
335,340,001
Factor Arrows
101349,901
Factor Arrows
1312,671

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, 101, 131, 2671

We can check our work by multiplying all of the prime factors together: 2 x 3 x 101 x 131 x 2,671 = 212,040,006

This can also be written as 21 x 31 x 1011 x 1311 x 2,6711 = 212,040,006

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


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