Q: What are the factor combinations of the number 121,111,015?

 A:
Positive:   1 x 1211110155 x 2422220373 x 1659055365 x 331811449 x 269735739 x 1638852245 x 539473695 x 32777
Negative: -1 x -121111015-5 x -24222203-73 x -1659055-365 x -331811-449 x -269735-739 x -163885-2245 x -53947-3695 x -32777


How do I find the factor combinations of the number 121,111,015?

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 121,111,015, 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.

1 121,111,015
-1 -121,111,015

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 121,111,015.

Example:
1 x 121,111,015 = 121,111,015
and
-1 x -121,111,015 = 121,111,015
Notice both answers equal 121,111,015

With that explanation out of the way, let's continue. Next, we take the number 121,111,015 and divide it by 2:

121,111,015 ÷ 2 = 60,555,507.5

If the quotient is a whole number, then 2 and 60,555,507.5 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:

1 121,111,015
-1 -121,111,015

Now, we try dividing 121,111,015 by 3:

121,111,015 ÷ 3 = 40,370,338.3333

If the quotient is a whole number, then 3 and 40,370,338.3333 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:

1 121,111,015
-1 -121,111,015

Let's try dividing by 4:

121,111,015 ÷ 4 = 30,277,753.75

If the quotient is a whole number, then 4 and 30,277,753.75 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:

1 121,111,015
-1 121,111,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15733654497392,2453,69532,77753,947163,885269,735331,8111,659,05524,222,203121,111,015
-1-5-73-365-449-739-2,245-3,695-32,777-53,947-163,885-269,735-331,811-1,659,055-24,222,203-121,111,015

More Examples

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