Q: What are the factor combinations of the number 121,798,823?

 A:
Positive:   1 x 12179882323 x 529560141 x 297070353 x 2298091943 x 1291611219 x 999172173 x 560512437 x 49979
Negative: -1 x -121798823-23 x -5295601-41 x -2970703-53 x -2298091-943 x -129161-1219 x -99917-2173 x -56051-2437 x -49979


How do I find the factor combinations of the number 121,798,823?

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 121,798,823, 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.

1 121,798,823
-1 -121,798,823

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 121,798,823.

Example:
1 x 121,798,823 = 121,798,823
and
-1 x -121,798,823 = 121,798,823
Notice both answers equal 121,798,823

With that explanation out of the way, let's continue. Next, we take the number 121,798,823 and divide it by 2:

121,798,823 ÷ 2 = 60,899,411.5

If the quotient is a whole number, then 2 and 60,899,411.5 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:

1 121,798,823
-1 -121,798,823

Now, we try dividing 121,798,823 by 3:

121,798,823 ÷ 3 = 40,599,607.6667

If the quotient is a whole number, then 3 and 40,599,607.6667 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:

1 121,798,823
-1 -121,798,823

Let's try dividing by 4:

121,798,823 ÷ 4 = 30,449,705.75

If the quotient is a whole number, then 4 and 30,449,705.75 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:

1 121,798,823
-1 121,798,823
Keep dividing by the next highest number until you cannot divide anymore.

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

12341539431,2192,1732,43749,97956,05199,917129,1612,298,0912,970,7035,295,601121,798,823
-1-23-41-53-943-1,219-2,173-2,437-49,979-56,051-99,917-129,161-2,298,091-2,970,703-5,295,601-121,798,823

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