Q: What are the factor combinations of the number 201,003,023?

 A:
Positive:   1 x 20100302313 x 15461771169 x 1189367359 x 5598973313 x 606714667 x 43069
Negative: -1 x -201003023-13 x -15461771-169 x -1189367-359 x -559897-3313 x -60671-4667 x -43069


How do I find the factor combinations of the number 201,003,023?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 201,003,023, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 201,003,023
-1 -201,003,023

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,003,023.

Example:
1 x 201,003,023 = 201,003,023
and
-1 x -201,003,023 = 201,003,023
Notice both answers equal 201,003,023

With that explanation out of the way, let's continue. Next, we take the number 201,003,023 and divide it by 2:

201,003,023 ÷ 2 = 100,501,511.5

If the quotient is a whole number, then 2 and 100,501,511.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,003,023
-1 -201,003,023

Now, we try dividing 201,003,023 by 3:

201,003,023 ÷ 3 = 67,001,007.6667

If the quotient is a whole number, then 3 and 67,001,007.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,003,023
-1 -201,003,023

Let's try dividing by 4:

201,003,023 ÷ 4 = 50,250,755.75

If the quotient is a whole number, then 4 and 50,250,755.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,003,023
-1 201,003,023
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1131693593,3134,66743,06960,671559,8971,189,36715,461,771201,003,023
-1-13-169-359-3,313-4,667-43,069-60,671-559,897-1,189,367-15,461,771-201,003,023

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