Q: What are the factor combinations of the number 9,792,629?

 A:
Positive:   1 x 97926297 x 139894711 x 89023917 x 57603777 x 127177119 x 82291187 x 523671309 x 7481
Negative: -1 x -9792629-7 x -1398947-11 x -890239-17 x -576037-77 x -127177-119 x -82291-187 x -52367-1309 x -7481


How do I find the factor combinations of the number 9,792,629?

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 9,792,629, 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 9,792,629
-1 -9,792,629

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 9,792,629.

Example:
1 x 9,792,629 = 9,792,629
and
-1 x -9,792,629 = 9,792,629
Notice both answers equal 9,792,629

With that explanation out of the way, let's continue. Next, we take the number 9,792,629 and divide it by 2:

9,792,629 ÷ 2 = 4,896,314.5

If the quotient is a whole number, then 2 and 4,896,314.5 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 9,792,629
-1 -9,792,629

Now, we try dividing 9,792,629 by 3:

9,792,629 ÷ 3 = 3,264,209.6667

If the quotient is a whole number, then 3 and 3,264,209.6667 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 9,792,629
-1 -9,792,629

Let's try dividing by 4:

9,792,629 ÷ 4 = 2,448,157.25

If the quotient is a whole number, then 4 and 2,448,157.25 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 9,792,629
-1 9,792,629
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,3097,48152,36782,291127,177576,037890,2391,398,9479,792,629
-1-7-11-17-77-119-187-1,309-7,481-52,367-82,291-127,177-576,037-890,239-1,398,947-9,792,629

More Examples

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