Q: What are the prime factors of the number 412,021,422?

 A: 2, 3, 19, 1204741

Why are those the prime factors of the number 412,021,422?

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 412,021,422

412,021,422
Factor Arrows
2206,010,711
Factor Arrows
368,670,237
Factor Arrows
322,890,079
Factor Arrows
191,204,741

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, 19, 1204741

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 1,204,741 = 412,021,422

This can also be written as 21 x 32 x 191 x 1,204,7411 = 412,021,422

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


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