Q: What are the factor combinations of the number 200,201,023?

 A:
Positive:   1 x 20020102311 x 18200093181 x 1106083193 x 1037311521 x 3842631991 x 1005532123 x 943015731 x 34933
Negative: -1 x -200201023-11 x -18200093-181 x -1106083-193 x -1037311-521 x -384263-1991 x -100553-2123 x -94301-5731 x -34933


How do I find the factor combinations of the number 200,201,023?

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 200,201,023, 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.

1 200,201,023
-1 -200,201,023

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 200,201,023.

Example:
1 x 200,201,023 = 200,201,023
and
-1 x -200,201,023 = 200,201,023
Notice both answers equal 200,201,023

With that explanation out of the way, let's continue. Next, we take the number 200,201,023 and divide it by 2:

200,201,023 ÷ 2 = 100,100,511.5

If the quotient is a whole number, then 2 and 100,100,511.5 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:

1 200,201,023
-1 -200,201,023

Now, we try dividing 200,201,023 by 3:

200,201,023 ÷ 3 = 66,733,674.3333

If the quotient is a whole number, then 3 and 66,733,674.3333 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:

1 200,201,023
-1 -200,201,023

Let's try dividing by 4:

200,201,023 ÷ 4 = 50,050,255.75

If the quotient is a whole number, then 4 and 50,050,255.75 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:

1 200,201,023
-1 200,201,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1111811935211,9912,1235,73134,93394,301100,553384,2631,037,3111,106,08318,200,093200,201,023
-1-11-181-193-521-1,991-2,123-5,731-34,933-94,301-100,553-384,263-1,037,311-1,106,083-18,200,093-200,201,023

More Examples

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