Q: What are the factor combinations of the number 9,990,449?

 A:
Positive:   1 x 99904497 x 1427207919 x 108711553 x 6433
Negative: -1 x -9990449-7 x -1427207-919 x -10871-1553 x -6433


How do I find the factor combinations of the number 9,990,449?

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 9,990,449, 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 9,990,449
-1 -9,990,449

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 9,990,449.

Example:
1 x 9,990,449 = 9,990,449
and
-1 x -9,990,449 = 9,990,449
Notice both answers equal 9,990,449

With that explanation out of the way, let's continue. Next, we take the number 9,990,449 and divide it by 2:

9,990,449 ÷ 2 = 4,995,224.5

If the quotient is a whole number, then 2 and 4,995,224.5 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 9,990,449
-1 -9,990,449

Now, we try dividing 9,990,449 by 3:

9,990,449 ÷ 3 = 3,330,149.6667

If the quotient is a whole number, then 3 and 3,330,149.6667 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 9,990,449
-1 -9,990,449

Let's try dividing by 4:

9,990,449 ÷ 4 = 2,497,612.25

If the quotient is a whole number, then 4 and 2,497,612.25 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 9,990,449
-1 9,990,449
Keep dividing by the next highest number until you cannot divide anymore.

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

179191,5536,43310,8711,427,2079,990,449
-1-7-919-1,553-6,433-10,871-1,427,207-9,990,449

More Examples

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