Q: What are the factor combinations of the number 120,244,111?

 A:
Positive:   1 x 12024411113 x 924954717 x 7073183221 x 544091349 x 3445391559 x 771294537 x 265035933 x 20267
Negative: -1 x -120244111-13 x -9249547-17 x -7073183-221 x -544091-349 x -344539-1559 x -77129-4537 x -26503-5933 x -20267


How do I find the factor combinations of the number 120,244,111?

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 120,244,111, 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.

1 120,244,111
-1 -120,244,111

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 120,244,111.

Example:
1 x 120,244,111 = 120,244,111
and
-1 x -120,244,111 = 120,244,111
Notice both answers equal 120,244,111

With that explanation out of the way, let's continue. Next, we take the number 120,244,111 and divide it by 2:

120,244,111 ÷ 2 = 60,122,055.5

If the quotient is a whole number, then 2 and 60,122,055.5 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:

1 120,244,111
-1 -120,244,111

Now, we try dividing 120,244,111 by 3:

120,244,111 ÷ 3 = 40,081,370.3333

If the quotient is a whole number, then 3 and 40,081,370.3333 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:

1 120,244,111
-1 -120,244,111

Let's try dividing by 4:

120,244,111 ÷ 4 = 30,061,027.75

If the quotient is a whole number, then 4 and 30,061,027.75 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:

1 120,244,111
-1 120,244,111
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213491,5594,5375,93320,26726,50377,129344,539544,0917,073,1839,249,547120,244,111
-1-13-17-221-349-1,559-4,537-5,933-20,267-26,503-77,129-344,539-544,091-7,073,183-9,249,547-120,244,111

More Examples

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