Q: What are the prime factors of the number 12,243,201?

 A: 3, 19, 347, 619

Why are those the prime factors of the number 12,243,201?

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 12,243,201

12,243,201
Factor Arrows
34,081,067
Factor Arrows
19214,793
Factor Arrows
347619

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, 347, 619

We can check our work by multiplying all of the prime factors together: 3 x 19 x 347 x 619 = 12,243,201

This can also be written as 31 x 191 x 3471 x 6191 = 12,243,201

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


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