Q: What are the factor combinations of the number 255,500,135?

 A:
Positive:   1 x 2555001355 x 5110002711 x 2322728555 x 4645457197 x 1296955985 x 2593912167 x 11790510835 x 23581
Negative: -1 x -255500135-5 x -51100027-11 x -23227285-55 x -4645457-197 x -1296955-985 x -259391-2167 x -117905-10835 x -23581


How do I find the factor combinations of the number 255,500,135?

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 255,500,135, 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.

1 255,500,135
-1 -255,500,135

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 255,500,135.

Example:
1 x 255,500,135 = 255,500,135
and
-1 x -255,500,135 = 255,500,135
Notice both answers equal 255,500,135

With that explanation out of the way, let's continue. Next, we take the number 255,500,135 and divide it by 2:

255,500,135 ÷ 2 = 127,750,067.5

If the quotient is a whole number, then 2 and 127,750,067.5 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:

1 255,500,135
-1 -255,500,135

Now, we try dividing 255,500,135 by 3:

255,500,135 ÷ 3 = 85,166,711.6667

If the quotient is a whole number, then 3 and 85,166,711.6667 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:

1 255,500,135
-1 -255,500,135

Let's try dividing by 4:

255,500,135 ÷ 4 = 63,875,033.75

If the quotient is a whole number, then 4 and 63,875,033.75 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:

1 255,500,135
-1 255,500,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551979852,16710,83523,581117,905259,3911,296,9554,645,45723,227,28551,100,027255,500,135
-1-5-11-55-197-985-2,167-10,835-23,581-117,905-259,391-1,296,955-4,645,457-23,227,285-51,100,027-255,500,135

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