Q: What are the factor combinations of the number 320,332,103?

 A:
Positive:   1 x 3203321037 x 4576172913 x 2464093173 x 438811191 x 3520133511 x 626873949 x 3375476643 x 48221
Negative: -1 x -320332103-7 x -45761729-13 x -24640931-73 x -4388111-91 x -3520133-511 x -626873-949 x -337547-6643 x -48221


How do I find the factor combinations of the number 320,332,103?

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 320,332,103, 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.

1 320,332,103
-1 -320,332,103

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 320,332,103.

Example:
1 x 320,332,103 = 320,332,103
and
-1 x -320,332,103 = 320,332,103
Notice both answers equal 320,332,103

With that explanation out of the way, let's continue. Next, we take the number 320,332,103 and divide it by 2:

320,332,103 ÷ 2 = 160,166,051.5

If the quotient is a whole number, then 2 and 160,166,051.5 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:

1 320,332,103
-1 -320,332,103

Now, we try dividing 320,332,103 by 3:

320,332,103 ÷ 3 = 106,777,367.6667

If the quotient is a whole number, then 3 and 106,777,367.6667 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:

1 320,332,103
-1 -320,332,103

Let's try dividing by 4:

320,332,103 ÷ 4 = 80,083,025.75

If the quotient is a whole number, then 4 and 80,083,025.75 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:

1 320,332,103
-1 320,332,103
Keep dividing by the next highest number until you cannot divide anymore.

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

171373915119496,64348,221337,547626,8733,520,1334,388,11124,640,93145,761,729320,332,103
-1-7-13-73-91-511-949-6,643-48,221-337,547-626,873-3,520,133-4,388,111-24,640,931-45,761,729-320,332,103

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