Q: What are the factor combinations of the number 215,540,135?

 A:
Positive:   1 x 2155401355 x 4310802753 x 4066795265 x 813359631 x 3415851289 x 1672153155 x 683176445 x 33443
Negative: -1 x -215540135-5 x -43108027-53 x -4066795-265 x -813359-631 x -341585-1289 x -167215-3155 x -68317-6445 x -33443


How do I find the factor combinations of the number 215,540,135?

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 215,540,135, 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.

1 215,540,135
-1 -215,540,135

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 215,540,135.

Example:
1 x 215,540,135 = 215,540,135
and
-1 x -215,540,135 = 215,540,135
Notice both answers equal 215,540,135

With that explanation out of the way, let's continue. Next, we take the number 215,540,135 and divide it by 2:

215,540,135 ÷ 2 = 107,770,067.5

If the quotient is a whole number, then 2 and 107,770,067.5 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:

1 215,540,135
-1 -215,540,135

Now, we try dividing 215,540,135 by 3:

215,540,135 ÷ 3 = 71,846,711.6667

If the quotient is a whole number, then 3 and 71,846,711.6667 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:

1 215,540,135
-1 -215,540,135

Let's try dividing by 4:

215,540,135 ÷ 4 = 53,885,033.75

If the quotient is a whole number, then 4 and 53,885,033.75 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:

1 215,540,135
-1 215,540,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15532656311,2893,1556,44533,44368,317167,215341,585813,3594,066,79543,108,027215,540,135
-1-5-53-265-631-1,289-3,155-6,445-33,443-68,317-167,215-341,585-813,359-4,066,795-43,108,027-215,540,135

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