Q: What are the factor combinations of the number 322,022,203?

 A:
Positive:   1 x 32202220319 x 1694853731 x 1038781389 x 3618227589 x 5467271691 x 1904332759 x 1167176143 x 52421
Negative: -1 x -322022203-19 x -16948537-31 x -10387813-89 x -3618227-589 x -546727-1691 x -190433-2759 x -116717-6143 x -52421


How do I find the factor combinations of the number 322,022,203?

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 322,022,203, 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.

1 322,022,203
-1 -322,022,203

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 322,022,203.

Example:
1 x 322,022,203 = 322,022,203
and
-1 x -322,022,203 = 322,022,203
Notice both answers equal 322,022,203

With that explanation out of the way, let's continue. Next, we take the number 322,022,203 and divide it by 2:

322,022,203 ÷ 2 = 161,011,101.5

If the quotient is a whole number, then 2 and 161,011,101.5 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:

1 322,022,203
-1 -322,022,203

Now, we try dividing 322,022,203 by 3:

322,022,203 ÷ 3 = 107,340,734.3333

If the quotient is a whole number, then 3 and 107,340,734.3333 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:

1 322,022,203
-1 -322,022,203

Let's try dividing by 4:

322,022,203 ÷ 4 = 80,505,550.75

If the quotient is a whole number, then 4 and 80,505,550.75 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:

1 322,022,203
-1 322,022,203
Keep dividing by the next highest number until you cannot divide anymore.

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

11931895891,6912,7596,14352,421116,717190,433546,7273,618,22710,387,81316,948,537322,022,203
-1-19-31-89-589-1,691-2,759-6,143-52,421-116,717-190,433-546,727-3,618,227-10,387,813-16,948,537-322,022,203

More Examples

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