Q: What are the factor combinations of the number 120,243,227?

 A:
Positive:   1 x 12024322713 x 924947917 x 7073131101 x 1190527221 x 5440871313 x 915791717 x 700315387 x 22321
Negative: -1 x -120243227-13 x -9249479-17 x -7073131-101 x -1190527-221 x -544087-1313 x -91579-1717 x -70031-5387 x -22321


How do I find the factor combinations of the number 120,243,227?

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 120,243,227, 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.

1 120,243,227
-1 -120,243,227

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 120,243,227.

Example:
1 x 120,243,227 = 120,243,227
and
-1 x -120,243,227 = 120,243,227
Notice both answers equal 120,243,227

With that explanation out of the way, let's continue. Next, we take the number 120,243,227 and divide it by 2:

120,243,227 ÷ 2 = 60,121,613.5

If the quotient is a whole number, then 2 and 60,121,613.5 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:

1 120,243,227
-1 -120,243,227

Now, we try dividing 120,243,227 by 3:

120,243,227 ÷ 3 = 40,081,075.6667

If the quotient is a whole number, then 3 and 40,081,075.6667 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:

1 120,243,227
-1 -120,243,227

Let's try dividing by 4:

120,243,227 ÷ 4 = 30,060,806.75

If the quotient is a whole number, then 4 and 30,060,806.75 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:

1 120,243,227
-1 120,243,227
Keep dividing by the next highest number until you cannot divide anymore.

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

113171012211,3131,7175,38722,32170,03191,579544,0871,190,5277,073,1319,249,479120,243,227
-1-13-17-101-221-1,313-1,717-5,387-22,321-70,031-91,579-544,087-1,190,527-7,073,131-9,249,479-120,243,227

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