Q: What are the factor combinations of the number 11,480,987?

 A:
Positive:   1 x 114809877 x 164014159 x 194593413 x 27799
Negative: -1 x -11480987-7 x -1640141-59 x -194593-413 x -27799


How do I find the factor combinations of the number 11,480,987?

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 11,480,987, 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 11,480,987
-1 -11,480,987

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 11,480,987.

Example:
1 x 11,480,987 = 11,480,987
and
-1 x -11,480,987 = 11,480,987
Notice both answers equal 11,480,987

With that explanation out of the way, let's continue. Next, we take the number 11,480,987 and divide it by 2:

11,480,987 ÷ 2 = 5,740,493.5

If the quotient is a whole number, then 2 and 5,740,493.5 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 11,480,987
-1 -11,480,987

Now, we try dividing 11,480,987 by 3:

11,480,987 ÷ 3 = 3,826,995.6667

If the quotient is a whole number, then 3 and 3,826,995.6667 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 11,480,987
-1 -11,480,987

Let's try dividing by 4:

11,480,987 ÷ 4 = 2,870,246.75

If the quotient is a whole number, then 4 and 2,870,246.75 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 11,480,987
-1 11,480,987
Keep dividing by the next highest number until you cannot divide anymore.

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

175941327,799194,5931,640,14111,480,987
-1-7-59-413-27,799-194,593-1,640,141-11,480,987

More Examples

Here are some more numbers to try:

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