Q: What are the factor combinations of the number 121,055,125?

 A:
Positive:   1 x 1210551255 x 2421102525 x 4842205125 x 968441229 x 5286251145 x 1057254229 x 286255725 x 21145
Negative: -1 x -121055125-5 x -24211025-25 x -4842205-125 x -968441-229 x -528625-1145 x -105725-4229 x -28625-5725 x -21145


How do I find the factor combinations of the number 121,055,125?

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 121,055,125, 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.

1 121,055,125
-1 -121,055,125

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 121,055,125.

Example:
1 x 121,055,125 = 121,055,125
and
-1 x -121,055,125 = 121,055,125
Notice both answers equal 121,055,125

With that explanation out of the way, let's continue. Next, we take the number 121,055,125 and divide it by 2:

121,055,125 ÷ 2 = 60,527,562.5

If the quotient is a whole number, then 2 and 60,527,562.5 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:

1 121,055,125
-1 -121,055,125

Now, we try dividing 121,055,125 by 3:

121,055,125 ÷ 3 = 40,351,708.3333

If the quotient is a whole number, then 3 and 40,351,708.3333 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:

1 121,055,125
-1 -121,055,125

Let's try dividing by 4:

121,055,125 ÷ 4 = 30,263,781.25

If the quotient is a whole number, then 4 and 30,263,781.25 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:

1 121,055,125
-1 121,055,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252291,1454,2295,72521,14528,625105,725528,625968,4414,842,20524,211,025121,055,125
-1-5-25-125-229-1,145-4,229-5,725-21,145-28,625-105,725-528,625-968,441-4,842,205-24,211,025-121,055,125

More Examples

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