Q: What are the factor combinations of the number 201,403,135?

 A:
Positive:   1 x 2014031355 x 4028062719 x 1060016595 x 2120033271 x 7431851355 x 1486375149 x 391157823 x 25745
Negative: -1 x -201403135-5 x -40280627-19 x -10600165-95 x -2120033-271 x -743185-1355 x -148637-5149 x -39115-7823 x -25745


How do I find the factor combinations of the number 201,403,135?

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 201,403,135, 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.

1 201,403,135
-1 -201,403,135

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 201,403,135.

Example:
1 x 201,403,135 = 201,403,135
and
-1 x -201,403,135 = 201,403,135
Notice both answers equal 201,403,135

With that explanation out of the way, let's continue. Next, we take the number 201,403,135 and divide it by 2:

201,403,135 ÷ 2 = 100,701,567.5

If the quotient is a whole number, then 2 and 100,701,567.5 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:

1 201,403,135
-1 -201,403,135

Now, we try dividing 201,403,135 by 3:

201,403,135 ÷ 3 = 67,134,378.3333

If the quotient is a whole number, then 3 and 67,134,378.3333 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:

1 201,403,135
-1 -201,403,135

Let's try dividing by 4:

201,403,135 ÷ 4 = 50,350,783.75

If the quotient is a whole number, then 4 and 50,350,783.75 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:

1 201,403,135
-1 201,403,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952711,3555,1497,82325,74539,115148,637743,1852,120,03310,600,16540,280,627201,403,135
-1-5-19-95-271-1,355-5,149-7,823-25,745-39,115-148,637-743,185-2,120,033-10,600,165-40,280,627-201,403,135

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