Q: What are the factor combinations of the number 9,681,041?

 A:
Positive:   1 x 968104117 x 56947329 x 33382973 x 132617269 x 35989493 x 196371241 x 78012117 x 4573
Negative: -1 x -9681041-17 x -569473-29 x -333829-73 x -132617-269 x -35989-493 x -19637-1241 x -7801-2117 x -4573


How do I find the factor combinations of the number 9,681,041?

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 9,681,041, 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 9,681,041
-1 -9,681,041

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 9,681,041.

Example:
1 x 9,681,041 = 9,681,041
and
-1 x -9,681,041 = 9,681,041
Notice both answers equal 9,681,041

With that explanation out of the way, let's continue. Next, we take the number 9,681,041 and divide it by 2:

9,681,041 ÷ 2 = 4,840,520.5

If the quotient is a whole number, then 2 and 4,840,520.5 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 9,681,041
-1 -9,681,041

Now, we try dividing 9,681,041 by 3:

9,681,041 ÷ 3 = 3,227,013.6667

If the quotient is a whole number, then 3 and 3,227,013.6667 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 9,681,041
-1 -9,681,041

Let's try dividing by 4:

9,681,041 ÷ 4 = 2,420,260.25

If the quotient is a whole number, then 4 and 2,420,260.25 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 9,681,041
-1 9,681,041
Keep dividing by the next highest number until you cannot divide anymore.

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

11729732694931,2412,1174,5737,80119,63735,989132,617333,829569,4739,681,041
-1-17-29-73-269-493-1,241-2,117-4,573-7,801-19,637-35,989-132,617-333,829-569,473-9,681,041

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