Q: What are the factor combinations of the number 9,491,845?

 A:
Positive:   1 x 94918455 x 189836911 x 86289529 x 32730555 x 172579121 x 78445145 x 65461319 x 29755541 x 17545605 x 156891595 x 59512705 x 3509
Negative: -1 x -9491845-5 x -1898369-11 x -862895-29 x -327305-55 x -172579-121 x -78445-145 x -65461-319 x -29755-541 x -17545-605 x -15689-1595 x -5951-2705 x -3509


How do I find the factor combinations of the number 9,491,845?

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 9,491,845, 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 9,491,845
-1 -9,491,845

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 9,491,845.

Example:
1 x 9,491,845 = 9,491,845
and
-1 x -9,491,845 = 9,491,845
Notice both answers equal 9,491,845

With that explanation out of the way, let's continue. Next, we take the number 9,491,845 and divide it by 2:

9,491,845 ÷ 2 = 4,745,922.5

If the quotient is a whole number, then 2 and 4,745,922.5 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 9,491,845
-1 -9,491,845

Now, we try dividing 9,491,845 by 3:

9,491,845 ÷ 3 = 3,163,948.3333

If the quotient is a whole number, then 3 and 3,163,948.3333 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 9,491,845
-1 -9,491,845

Let's try dividing by 4:

9,491,845 ÷ 4 = 2,372,961.25

If the quotient is a whole number, then 4 and 2,372,961.25 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 9,491,845
-1 9,491,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551211453195416051,5952,7053,5095,95115,68917,54529,75565,46178,445172,579327,305862,8951,898,3699,491,845
-1-5-11-29-55-121-145-319-541-605-1,595-2,705-3,509-5,951-15,689-17,545-29,755-65,461-78,445-172,579-327,305-862,895-1,898,369-9,491,845

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