Q: What are the factor combinations of the number 120,220,243?

 A:
Positive:   1 x 12022024311 x 1092911313 x 924771117 x 7071779143 x 840701187 x 642889221 x 543983289 x 4159872431 x 494532909 x 413273179 x 378173757 x 31999
Negative: -1 x -120220243-11 x -10929113-13 x -9247711-17 x -7071779-143 x -840701-187 x -642889-221 x -543983-289 x -415987-2431 x -49453-2909 x -41327-3179 x -37817-3757 x -31999


How do I find the factor combinations of the number 120,220,243?

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 120,220,243, 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.

1 120,220,243
-1 -120,220,243

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 120,220,243.

Example:
1 x 120,220,243 = 120,220,243
and
-1 x -120,220,243 = 120,220,243
Notice both answers equal 120,220,243

With that explanation out of the way, let's continue. Next, we take the number 120,220,243 and divide it by 2:

120,220,243 ÷ 2 = 60,110,121.5

If the quotient is a whole number, then 2 and 60,110,121.5 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:

1 120,220,243
-1 -120,220,243

Now, we try dividing 120,220,243 by 3:

120,220,243 ÷ 3 = 40,073,414.3333

If the quotient is a whole number, then 3 and 40,073,414.3333 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:

1 120,220,243
-1 -120,220,243

Let's try dividing by 4:

120,220,243 ÷ 4 = 30,055,060.75

If the quotient is a whole number, then 4 and 30,055,060.75 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:

1 120,220,243
-1 120,220,243
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171431872212892,4312,9093,1793,75731,99937,81741,32749,453415,987543,983642,889840,7017,071,7799,247,71110,929,113120,220,243
-1-11-13-17-143-187-221-289-2,431-2,909-3,179-3,757-31,999-37,817-41,327-49,453-415,987-543,983-642,889-840,701-7,071,779-9,247,711-10,929,113-120,220,243

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