Q: What are the factor combinations of the number 11,223,425?

 A:
Positive:   1 x 112234255 x 224468523 x 48797525 x 448937115 x 97595131 x 85675149 x 75325575 x 19519655 x 17135745 x 150653013 x 37253275 x 3427
Negative: -1 x -11223425-5 x -2244685-23 x -487975-25 x -448937-115 x -97595-131 x -85675-149 x -75325-575 x -19519-655 x -17135-745 x -15065-3013 x -3725-3275 x -3427


How do I find the factor combinations of the number 11,223,425?

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 11,223,425, 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 11,223,425
-1 -11,223,425

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 11,223,425.

Example:
1 x 11,223,425 = 11,223,425
and
-1 x -11,223,425 = 11,223,425
Notice both answers equal 11,223,425

With that explanation out of the way, let's continue. Next, we take the number 11,223,425 and divide it by 2:

11,223,425 ÷ 2 = 5,611,712.5

If the quotient is a whole number, then 2 and 5,611,712.5 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 11,223,425
-1 -11,223,425

Now, we try dividing 11,223,425 by 3:

11,223,425 ÷ 3 = 3,741,141.6667

If the quotient is a whole number, then 3 and 3,741,141.6667 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 11,223,425
-1 -11,223,425

Let's try dividing by 4:

11,223,425 ÷ 4 = 2,805,856.25

If the quotient is a whole number, then 4 and 2,805,856.25 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 11,223,425
-1 11,223,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151311495756557453,0133,2753,4273,72515,06517,13519,51975,32585,67597,595448,937487,9752,244,68511,223,425
-1-5-23-25-115-131-149-575-655-745-3,013-3,275-3,427-3,725-15,065-17,135-19,519-75,325-85,675-97,595-448,937-487,975-2,244,685-11,223,425

More Examples

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