Q: What are the factor combinations of the number 122,222,125?

 A:
Positive:   1 x 1222221255 x 2444442525 x 488888543 x 2842375125 x 977777215 x 5684751075 x 1136955375 x 22739
Negative: -1 x -122222125-5 x -24444425-25 x -4888885-43 x -2842375-125 x -977777-215 x -568475-1075 x -113695-5375 x -22739


How do I find the factor combinations of the number 122,222,125?

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 122,222,125, 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.

1 122,222,125
-1 -122,222,125

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 122,222,125.

Example:
1 x 122,222,125 = 122,222,125
and
-1 x -122,222,125 = 122,222,125
Notice both answers equal 122,222,125

With that explanation out of the way, let's continue. Next, we take the number 122,222,125 and divide it by 2:

122,222,125 ÷ 2 = 61,111,062.5

If the quotient is a whole number, then 2 and 61,111,062.5 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:

1 122,222,125
-1 -122,222,125

Now, we try dividing 122,222,125 by 3:

122,222,125 ÷ 3 = 40,740,708.3333

If the quotient is a whole number, then 3 and 40,740,708.3333 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:

1 122,222,125
-1 -122,222,125

Let's try dividing by 4:

122,222,125 ÷ 4 = 30,555,531.25

If the quotient is a whole number, then 4 and 30,555,531.25 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:

1 122,222,125
-1 122,222,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0755,37522,739113,695568,475977,7772,842,3754,888,88524,444,425122,222,125
-1-5-25-43-125-215-1,075-5,375-22,739-113,695-568,475-977,777-2,842,375-4,888,885-24,444,425-122,222,125

More Examples

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