Q: What are the factor combinations of the number 11,311,625?

 A:
Positive:   1 x 113116255 x 226232513 x 87012525 x 45246565 x 174025125 x 90493325 x 348051625 x 6961
Negative: -1 x -11311625-5 x -2262325-13 x -870125-25 x -452465-65 x -174025-125 x -90493-325 x -34805-1625 x -6961


How do I find the factor combinations of the number 11,311,625?

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 11,311,625, 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 11,311,625
-1 -11,311,625

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 11,311,625.

Example:
1 x 11,311,625 = 11,311,625
and
-1 x -11,311,625 = 11,311,625
Notice both answers equal 11,311,625

With that explanation out of the way, let's continue. Next, we take the number 11,311,625 and divide it by 2:

11,311,625 ÷ 2 = 5,655,812.5

If the quotient is a whole number, then 2 and 5,655,812.5 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 11,311,625
-1 -11,311,625

Now, we try dividing 11,311,625 by 3:

11,311,625 ÷ 3 = 3,770,541.6667

If the quotient is a whole number, then 3 and 3,770,541.6667 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 11,311,625
-1 -11,311,625

Let's try dividing by 4:

11,311,625 ÷ 4 = 2,827,906.25

If the quotient is a whole number, then 4 and 2,827,906.25 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 11,311,625
-1 11,311,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6256,96134,80590,493174,025452,465870,1252,262,32511,311,625
-1-5-13-25-65-125-325-1,625-6,961-34,805-90,493-174,025-452,465-870,125-2,262,325-11,311,625

More Examples

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