Q: What are the factor combinations of the number 328,324,747?

 A:
Positive:   1 x 32832474723 x 1427498929 x 11321543137 x 2396531667 x 4922413151 x 1041973593 x 913793973 x 82639
Negative: -1 x -328324747-23 x -14274989-29 x -11321543-137 x -2396531-667 x -492241-3151 x -104197-3593 x -91379-3973 x -82639


How do I find the factor combinations of the number 328,324,747?

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 328,324,747, 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.

1 328,324,747
-1 -328,324,747

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 328,324,747.

Example:
1 x 328,324,747 = 328,324,747
and
-1 x -328,324,747 = 328,324,747
Notice both answers equal 328,324,747

With that explanation out of the way, let's continue. Next, we take the number 328,324,747 and divide it by 2:

328,324,747 ÷ 2 = 164,162,373.5

If the quotient is a whole number, then 2 and 164,162,373.5 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:

1 328,324,747
-1 -328,324,747

Now, we try dividing 328,324,747 by 3:

328,324,747 ÷ 3 = 109,441,582.3333

If the quotient is a whole number, then 3 and 109,441,582.3333 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:

1 328,324,747
-1 -328,324,747

Let's try dividing by 4:

328,324,747 ÷ 4 = 82,081,186.75

If the quotient is a whole number, then 4 and 82,081,186.75 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:

1 328,324,747
-1 328,324,747
Keep dividing by the next highest number until you cannot divide anymore.

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

123291376673,1513,5933,97382,63991,379104,197492,2412,396,53111,321,54314,274,989328,324,747
-1-23-29-137-667-3,151-3,593-3,973-82,639-91,379-104,197-492,241-2,396,531-11,321,543-14,274,989-328,324,747

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