Q: What are the factor combinations of the number 121,615,109?

 A:
Positive:   1 x 1216151097 x 1737358711 x 1105591949 x 248194177 x 1579417343 x 354563539 x 2256313773 x 32233
Negative: -1 x -121615109-7 x -17373587-11 x -11055919-49 x -2481941-77 x -1579417-343 x -354563-539 x -225631-3773 x -32233


How do I find the factor combinations of the number 121,615,109?

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 121,615,109, 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.

1 121,615,109
-1 -121,615,109

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 121,615,109.

Example:
1 x 121,615,109 = 121,615,109
and
-1 x -121,615,109 = 121,615,109
Notice both answers equal 121,615,109

With that explanation out of the way, let's continue. Next, we take the number 121,615,109 and divide it by 2:

121,615,109 ÷ 2 = 60,807,554.5

If the quotient is a whole number, then 2 and 60,807,554.5 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:

1 121,615,109
-1 -121,615,109

Now, we try dividing 121,615,109 by 3:

121,615,109 ÷ 3 = 40,538,369.6667

If the quotient is a whole number, then 3 and 40,538,369.6667 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:

1 121,615,109
-1 -121,615,109

Let's try dividing by 4:

121,615,109 ÷ 4 = 30,403,777.25

If the quotient is a whole number, then 4 and 30,403,777.25 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:

1 121,615,109
-1 121,615,109
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435393,77332,233225,631354,5631,579,4172,481,94111,055,91917,373,587121,615,109
-1-7-11-49-77-343-539-3,773-32,233-225,631-354,563-1,579,417-2,481,941-11,055,919-17,373,587-121,615,109

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