Q: What are the factor combinations of the number 121,233,023?

 A:
Positive:   1 x 12123302323 x 527100141 x 295690359 x 2054797943 x 1285611357 x 893392179 x 556372419 x 50117
Negative: -1 x -121233023-23 x -5271001-41 x -2956903-59 x -2054797-943 x -128561-1357 x -89339-2179 x -55637-2419 x -50117


How do I find the factor combinations of the number 121,233,023?

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 121,233,023, 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.

1 121,233,023
-1 -121,233,023

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 121,233,023.

Example:
1 x 121,233,023 = 121,233,023
and
-1 x -121,233,023 = 121,233,023
Notice both answers equal 121,233,023

With that explanation out of the way, let's continue. Next, we take the number 121,233,023 and divide it by 2:

121,233,023 ÷ 2 = 60,616,511.5

If the quotient is a whole number, then 2 and 60,616,511.5 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:

1 121,233,023
-1 -121,233,023

Now, we try dividing 121,233,023 by 3:

121,233,023 ÷ 3 = 40,411,007.6667

If the quotient is a whole number, then 3 and 40,411,007.6667 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:

1 121,233,023
-1 -121,233,023

Let's try dividing by 4:

121,233,023 ÷ 4 = 30,308,255.75

If the quotient is a whole number, then 4 and 30,308,255.75 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:

1 121,233,023
-1 121,233,023
Keep dividing by the next highest number until you cannot divide anymore.

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

12341599431,3572,1792,41950,11755,63789,339128,5612,054,7972,956,9035,271,001121,233,023
-1-23-41-59-943-1,357-2,179-2,419-50,117-55,637-89,339-128,561-2,054,797-2,956,903-5,271,001-121,233,023

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