Q: What are the factor combinations of the number 332,320,199?

 A:
Positive:   1 x 33232019917 x 1954824737 x 8981627101 x 3290299629 x 5283311717 x 1935473737 x 889275231 x 63529
Negative: -1 x -332320199-17 x -19548247-37 x -8981627-101 x -3290299-629 x -528331-1717 x -193547-3737 x -88927-5231 x -63529


How do I find the factor combinations of the number 332,320,199?

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 332,320,199, 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.

1 332,320,199
-1 -332,320,199

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 332,320,199.

Example:
1 x 332,320,199 = 332,320,199
and
-1 x -332,320,199 = 332,320,199
Notice both answers equal 332,320,199

With that explanation out of the way, let's continue. Next, we take the number 332,320,199 and divide it by 2:

332,320,199 ÷ 2 = 166,160,099.5

If the quotient is a whole number, then 2 and 166,160,099.5 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:

1 332,320,199
-1 -332,320,199

Now, we try dividing 332,320,199 by 3:

332,320,199 ÷ 3 = 110,773,399.6667

If the quotient is a whole number, then 3 and 110,773,399.6667 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:

1 332,320,199
-1 -332,320,199

Let's try dividing by 4:

332,320,199 ÷ 4 = 83,080,049.75

If the quotient is a whole number, then 4 and 83,080,049.75 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:

1 332,320,199
-1 332,320,199
Keep dividing by the next highest number until you cannot divide anymore.

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

117371016291,7173,7375,23163,52988,927193,547528,3313,290,2998,981,62719,548,247332,320,199
-1-17-37-101-629-1,717-3,737-5,231-63,529-88,927-193,547-528,331-3,290,299-8,981,627-19,548,247-332,320,199

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