Q: What are the factor combinations of the number 122,320,999?

 A:
Positive:   1 x 12232099941 x 2983439101 x 1211099109 x 1122211271 x 4513694141 x 295394469 x 2737111009 x 11111
Negative: -1 x -122320999-41 x -2983439-101 x -1211099-109 x -1122211-271 x -451369-4141 x -29539-4469 x -27371-11009 x -11111


How do I find the factor combinations of the number 122,320,999?

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 122,320,999, 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.

1 122,320,999
-1 -122,320,999

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 122,320,999.

Example:
1 x 122,320,999 = 122,320,999
and
-1 x -122,320,999 = 122,320,999
Notice both answers equal 122,320,999

With that explanation out of the way, let's continue. Next, we take the number 122,320,999 and divide it by 2:

122,320,999 ÷ 2 = 61,160,499.5

If the quotient is a whole number, then 2 and 61,160,499.5 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:

1 122,320,999
-1 -122,320,999

Now, we try dividing 122,320,999 by 3:

122,320,999 ÷ 3 = 40,773,666.3333

If the quotient is a whole number, then 3 and 40,773,666.3333 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:

1 122,320,999
-1 -122,320,999

Let's try dividing by 4:

122,320,999 ÷ 4 = 30,580,249.75

If the quotient is a whole number, then 4 and 30,580,249.75 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:

1 122,320,999
-1 122,320,999
Keep dividing by the next highest number until you cannot divide anymore.

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

1411011092714,1414,46911,00911,11127,37129,539451,3691,122,2111,211,0992,983,439122,320,999
-1-41-101-109-271-4,141-4,469-11,009-11,111-27,371-29,539-451,369-1,122,211-1,211,099-2,983,439-122,320,999

More Examples

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