Q: What are the factor combinations of the number 121,322,399?

 A:
Positive:   1 x 12132239911 x 1102930929 x 4183531277 x 437987319 x 3803211373 x 883633047 x 398178033 x 15103
Negative: -1 x -121322399-11 x -11029309-29 x -4183531-277 x -437987-319 x -380321-1373 x -88363-3047 x -39817-8033 x -15103


How do I find the factor combinations of the number 121,322,399?

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 121,322,399, 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.

1 121,322,399
-1 -121,322,399

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 121,322,399.

Example:
1 x 121,322,399 = 121,322,399
and
-1 x -121,322,399 = 121,322,399
Notice both answers equal 121,322,399

With that explanation out of the way, let's continue. Next, we take the number 121,322,399 and divide it by 2:

121,322,399 ÷ 2 = 60,661,199.5

If the quotient is a whole number, then 2 and 60,661,199.5 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:

1 121,322,399
-1 -121,322,399

Now, we try dividing 121,322,399 by 3:

121,322,399 ÷ 3 = 40,440,799.6667

If the quotient is a whole number, then 3 and 40,440,799.6667 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:

1 121,322,399
-1 -121,322,399

Let's try dividing by 4:

121,322,399 ÷ 4 = 30,330,599.75

If the quotient is a whole number, then 4 and 30,330,599.75 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:

1 121,322,399
-1 121,322,399
Keep dividing by the next highest number until you cannot divide anymore.

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

111292773191,3733,0478,03315,10339,81788,363380,321437,9874,183,53111,029,309121,322,399
-1-11-29-277-319-1,373-3,047-8,033-15,103-39,817-88,363-380,321-437,987-4,183,531-11,029,309-121,322,399

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