Q: What are the prime factors of the number 21,243,192?

 A: 2, 3, 885133

Why are those the prime factors of the number 21,243,192?

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 21,243,192

21,243,192
Factor Arrows
210,621,596
Factor Arrows
25,310,798
Factor Arrows
22,655,399
Factor Arrows
3885,133

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, 885133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 885,133 = 21,243,192

This can also be written as 23 x 31 x 885,1331 = 21,243,192

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


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