Q: What are the factor combinations of the number 200,133,137?

 A:
Positive:   1 x 20013313719 x 1053332343 x 4654259487 x 410951503 x 397879817 x 2449619253 x 216299557 x 20941
Negative: -1 x -200133137-19 x -10533323-43 x -4654259-487 x -410951-503 x -397879-817 x -244961-9253 x -21629-9557 x -20941


How do I find the factor combinations of the number 200,133,137?

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 200,133,137, 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.

1 200,133,137
-1 -200,133,137

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 200,133,137.

Example:
1 x 200,133,137 = 200,133,137
and
-1 x -200,133,137 = 200,133,137
Notice both answers equal 200,133,137

With that explanation out of the way, let's continue. Next, we take the number 200,133,137 and divide it by 2:

200,133,137 ÷ 2 = 100,066,568.5

If the quotient is a whole number, then 2 and 100,066,568.5 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:

1 200,133,137
-1 -200,133,137

Now, we try dividing 200,133,137 by 3:

200,133,137 ÷ 3 = 66,711,045.6667

If the quotient is a whole number, then 3 and 66,711,045.6667 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:

1 200,133,137
-1 -200,133,137

Let's try dividing by 4:

200,133,137 ÷ 4 = 50,033,284.25

If the quotient is a whole number, then 4 and 50,033,284.25 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:

1 200,133,137
-1 200,133,137
Keep dividing by the next highest number until you cannot divide anymore.

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

119434875038179,2539,55720,94121,629244,961397,879410,9514,654,25910,533,323200,133,137
-1-19-43-487-503-817-9,253-9,557-20,941-21,629-244,961-397,879-410,951-4,654,259-10,533,323-200,133,137

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