Q: What are the factor combinations of the number 322,999,999?

 A:
Positive:   1 x 3229999997 x 4614285729 x 11137931139 x 2323741203 x 1591133973 x 3319634031 x 8012911447 x 28217
Negative: -1 x -322999999-7 x -46142857-29 x -11137931-139 x -2323741-203 x -1591133-973 x -331963-4031 x -80129-11447 x -28217


How do I find the factor combinations of the number 322,999,999?

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 322,999,999, 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.

1 322,999,999
-1 -322,999,999

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 322,999,999.

Example:
1 x 322,999,999 = 322,999,999
and
-1 x -322,999,999 = 322,999,999
Notice both answers equal 322,999,999

With that explanation out of the way, let's continue. Next, we take the number 322,999,999 and divide it by 2:

322,999,999 ÷ 2 = 161,499,999.5

If the quotient is a whole number, then 2 and 161,499,999.5 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:

1 322,999,999
-1 -322,999,999

Now, we try dividing 322,999,999 by 3:

322,999,999 ÷ 3 = 107,666,666.3333

If the quotient is a whole number, then 3 and 107,666,666.3333 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:

1 322,999,999
-1 -322,999,999

Let's try dividing by 4:

322,999,999 ÷ 4 = 80,749,999.75

If the quotient is a whole number, then 4 and 80,749,999.75 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:

1 322,999,999
-1 322,999,999
Keep dividing by the next highest number until you cannot divide anymore.

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

17291392039734,03111,44728,21780,129331,9631,591,1332,323,74111,137,93146,142,857322,999,999
-1-7-29-139-203-973-4,031-11,447-28,217-80,129-331,963-1,591,133-2,323,741-11,137,931-46,142,857-322,999,999

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