Q: What are the factor combinations of the number 201,001,112?

 A:
Positive:   1 x 2010011122 x 1005005564 x 502502788 x 2512513913 x 1546162426 x 773081252 x 3865406104 x 1932703
Negative: -1 x -201001112-2 x -100500556-4 x -50250278-8 x -25125139-13 x -15461624-26 x -7730812-52 x -3865406-104 x -1932703


How do I find the factor combinations of the number 201,001,112?

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 201,001,112, 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.

1 201,001,112
-1 -201,001,112

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 201,001,112.

Example:
1 x 201,001,112 = 201,001,112
and
-1 x -201,001,112 = 201,001,112
Notice both answers equal 201,001,112

With that explanation out of the way, let's continue. Next, we take the number 201,001,112 and divide it by 2:

201,001,112 ÷ 2 = 100,500,556

If the quotient is a whole number, then 2 and 100,500,556 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 100,500,556 201,001,112
-1 -2 -100,500,556 -201,001,112

Now, we try dividing 201,001,112 by 3:

201,001,112 ÷ 3 = 67,000,370.6667

If the quotient is a whole number, then 3 and 67,000,370.6667 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 2 100,500,556 201,001,112
-1 -2 -100,500,556 -201,001,112

Let's try dividing by 4:

201,001,112 ÷ 4 = 50,250,278

If the quotient is a whole number, then 4 and 50,250,278 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 4 50,250,278 100,500,556 201,001,112
-1 -2 -4 -50,250,278 -100,500,556 201,001,112
Keep dividing by the next highest number until you cannot divide anymore.

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

12481326521041,932,7033,865,4067,730,81215,461,62425,125,13950,250,278100,500,556201,001,112
-1-2-4-8-13-26-52-104-1,932,703-3,865,406-7,730,812-15,461,624-25,125,139-50,250,278-100,500,556-201,001,112

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