Q: What are the factor combinations of the number 11,231,135?

 A:
Positive:   1 x 112311355 x 224622717 x 66065571 x 15818585 x 132131355 x 316371207 x 93051861 x 6035
Negative: -1 x -11231135-5 x -2246227-17 x -660655-71 x -158185-85 x -132131-355 x -31637-1207 x -9305-1861 x -6035


How do I find the factor combinations of the number 11,231,135?

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 11,231,135, 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 11,231,135
-1 -11,231,135

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 11,231,135.

Example:
1 x 11,231,135 = 11,231,135
and
-1 x -11,231,135 = 11,231,135
Notice both answers equal 11,231,135

With that explanation out of the way, let's continue. Next, we take the number 11,231,135 and divide it by 2:

11,231,135 ÷ 2 = 5,615,567.5

If the quotient is a whole number, then 2 and 5,615,567.5 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 11,231,135
-1 -11,231,135

Now, we try dividing 11,231,135 by 3:

11,231,135 ÷ 3 = 3,743,711.6667

If the quotient is a whole number, then 3 and 3,743,711.6667 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 11,231,135
-1 -11,231,135

Let's try dividing by 4:

11,231,135 ÷ 4 = 2,807,783.75

If the quotient is a whole number, then 4 and 2,807,783.75 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 11,231,135
-1 11,231,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151771853551,2071,8616,0359,30531,637132,131158,185660,6552,246,22711,231,135
-1-5-17-71-85-355-1,207-1,861-6,035-9,305-31,637-132,131-158,185-660,655-2,246,227-11,231,135

More Examples

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