Q: What are the factor combinations of the number 9,681,043?

 A:
Positive:   1 x 968104341 x 236123389 x 24887607 x 15949
Negative: -1 x -9681043-41 x -236123-389 x -24887-607 x -15949


How do I find the factor combinations of the number 9,681,043?

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 9,681,043, 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 9,681,043
-1 -9,681,043

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 9,681,043.

Example:
1 x 9,681,043 = 9,681,043
and
-1 x -9,681,043 = 9,681,043
Notice both answers equal 9,681,043

With that explanation out of the way, let's continue. Next, we take the number 9,681,043 and divide it by 2:

9,681,043 ÷ 2 = 4,840,521.5

If the quotient is a whole number, then 2 and 4,840,521.5 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 9,681,043
-1 -9,681,043

Now, we try dividing 9,681,043 by 3:

9,681,043 ÷ 3 = 3,227,014.3333

If the quotient is a whole number, then 3 and 3,227,014.3333 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 9,681,043
-1 -9,681,043

Let's try dividing by 4:

9,681,043 ÷ 4 = 2,420,260.75

If the quotient is a whole number, then 4 and 2,420,260.75 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 9,681,043
-1 9,681,043
Keep dividing by the next highest number until you cannot divide anymore.

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

14138960715,94924,887236,1239,681,043
-1-41-389-607-15,949-24,887-236,123-9,681,043

More Examples

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