Q: What are the factor combinations of the number 11,196,731?

 A:
Positive:   1 x 111967317 x 159953313 x 86128741 x 27309191 x 123041287 x 39013533 x 210073001 x 3731
Negative: -1 x -11196731-7 x -1599533-13 x -861287-41 x -273091-91 x -123041-287 x -39013-533 x -21007-3001 x -3731


How do I find the factor combinations of the number 11,196,731?

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 11,196,731, 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 11,196,731
-1 -11,196,731

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 11,196,731.

Example:
1 x 11,196,731 = 11,196,731
and
-1 x -11,196,731 = 11,196,731
Notice both answers equal 11,196,731

With that explanation out of the way, let's continue. Next, we take the number 11,196,731 and divide it by 2:

11,196,731 ÷ 2 = 5,598,365.5

If the quotient is a whole number, then 2 and 5,598,365.5 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 11,196,731
-1 -11,196,731

Now, we try dividing 11,196,731 by 3:

11,196,731 ÷ 3 = 3,732,243.6667

If the quotient is a whole number, then 3 and 3,732,243.6667 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 11,196,731
-1 -11,196,731

Let's try dividing by 4:

11,196,731 ÷ 4 = 2,799,182.75

If the quotient is a whole number, then 4 and 2,799,182.75 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 11,196,731
-1 11,196,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171341912875333,0013,73121,00739,013123,041273,091861,2871,599,53311,196,731
-1-7-13-41-91-287-533-3,001-3,731-21,007-39,013-123,041-273,091-861,287-1,599,533-11,196,731

More Examples

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