Q: What are the factor combinations of the number 12,220,195?

 A:
Positive:   1 x 122201955 x 244403913 x 94001517 x 71883565 x 18800385 x 143767221 x 552951105 x 11059
Negative: -1 x -12220195-5 x -2444039-13 x -940015-17 x -718835-65 x -188003-85 x -143767-221 x -55295-1105 x -11059


How do I find the factor combinations of the number 12,220,195?

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 12,220,195, 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 12,220,195
-1 -12,220,195

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 12,220,195.

Example:
1 x 12,220,195 = 12,220,195
and
-1 x -12,220,195 = 12,220,195
Notice both answers equal 12,220,195

With that explanation out of the way, let's continue. Next, we take the number 12,220,195 and divide it by 2:

12,220,195 ÷ 2 = 6,110,097.5

If the quotient is a whole number, then 2 and 6,110,097.5 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 12,220,195
-1 -12,220,195

Now, we try dividing 12,220,195 by 3:

12,220,195 ÷ 3 = 4,073,398.3333

If the quotient is a whole number, then 3 and 4,073,398.3333 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 12,220,195
-1 -12,220,195

Let's try dividing by 4:

12,220,195 ÷ 4 = 3,055,048.75

If the quotient is a whole number, then 4 and 3,055,048.75 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 12,220,195
-1 12,220,195
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10511,05955,295143,767188,003718,835940,0152,444,03912,220,195
-1-5-13-17-65-85-221-1,105-11,059-55,295-143,767-188,003-718,835-940,015-2,444,039-12,220,195

More Examples

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