Q: What are the prime factors of the number 201,042,042?

 A: 2, 3, 607, 55201

Why are those the prime factors of the number 201,042,042?

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 201,042,042

201,042,042
Factor Arrows
2100,521,021
Factor Arrows
333,507,007
Factor Arrows
60755,201

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, 607, 55201

We can check our work by multiplying all of the prime factors together: 2 x 3 x 607 x 55,201 = 201,042,042

This can also be written as 21 x 31 x 6071 x 55,2011 = 201,042,042

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


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