Q: What are the factor combinations of the number 121,009,081?

 A:
Positive:   1 x 12100908119 x 636889941 x 2951441163 x 742387779 x 155339953 x 1269773097 x 390736683 x 18107
Negative: -1 x -121009081-19 x -6368899-41 x -2951441-163 x -742387-779 x -155339-953 x -126977-3097 x -39073-6683 x -18107


How do I find the factor combinations of the number 121,009,081?

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 121,009,081, 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.

1 121,009,081
-1 -121,009,081

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 121,009,081.

Example:
1 x 121,009,081 = 121,009,081
and
-1 x -121,009,081 = 121,009,081
Notice both answers equal 121,009,081

With that explanation out of the way, let's continue. Next, we take the number 121,009,081 and divide it by 2:

121,009,081 ÷ 2 = 60,504,540.5

If the quotient is a whole number, then 2 and 60,504,540.5 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:

1 121,009,081
-1 -121,009,081

Now, we try dividing 121,009,081 by 3:

121,009,081 ÷ 3 = 40,336,360.3333

If the quotient is a whole number, then 3 and 40,336,360.3333 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:

1 121,009,081
-1 -121,009,081

Let's try dividing by 4:

121,009,081 ÷ 4 = 30,252,270.25

If the quotient is a whole number, then 4 and 30,252,270.25 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:

1 121,009,081
-1 121,009,081
Keep dividing by the next highest number until you cannot divide anymore.

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

119411637799533,0976,68318,10739,073126,977155,339742,3872,951,4416,368,899121,009,081
-1-19-41-163-779-953-3,097-6,683-18,107-39,073-126,977-155,339-742,387-2,951,441-6,368,899-121,009,081

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