Q: What are the factor combinations of the number 11,321,135?

 A:
Positive:   1 x 113211355 x 22642277 x 161730535 x 323461107 x 105805535 x 21161749 x 151153023 x 3745
Negative: -1 x -11321135-5 x -2264227-7 x -1617305-35 x -323461-107 x -105805-535 x -21161-749 x -15115-3023 x -3745


How do I find the factor combinations of the number 11,321,135?

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 11,321,135, 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 11,321,135
-1 -11,321,135

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 11,321,135.

Example:
1 x 11,321,135 = 11,321,135
and
-1 x -11,321,135 = 11,321,135
Notice both answers equal 11,321,135

With that explanation out of the way, let's continue. Next, we take the number 11,321,135 and divide it by 2:

11,321,135 ÷ 2 = 5,660,567.5

If the quotient is a whole number, then 2 and 5,660,567.5 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 11,321,135
-1 -11,321,135

Now, we try dividing 11,321,135 by 3:

11,321,135 ÷ 3 = 3,773,711.6667

If the quotient is a whole number, then 3 and 3,773,711.6667 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 11,321,135
-1 -11,321,135

Let's try dividing by 4:

11,321,135 ÷ 4 = 2,830,283.75

If the quotient is a whole number, then 4 and 2,830,283.75 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 11,321,135
-1 11,321,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,0233,74515,11521,161105,805323,4611,617,3052,264,22711,321,135
-1-5-7-35-107-535-749-3,023-3,745-15,115-21,161-105,805-323,461-1,617,305-2,264,227-11,321,135

More Examples

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