Q: What are the factor combinations of the number 323,733,713?

 A:
Positive:   1 x 32373371331 x 1044302343 x 7528691211 x 15342831151 x 2812631333 x 2428616541 x 494939073 x 35681
Negative: -1 x -323733713-31 x -10443023-43 x -7528691-211 x -1534283-1151 x -281263-1333 x -242861-6541 x -49493-9073 x -35681


How do I find the factor combinations of the number 323,733,713?

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 323,733,713, 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.

1 323,733,713
-1 -323,733,713

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 323,733,713.

Example:
1 x 323,733,713 = 323,733,713
and
-1 x -323,733,713 = 323,733,713
Notice both answers equal 323,733,713

With that explanation out of the way, let's continue. Next, we take the number 323,733,713 and divide it by 2:

323,733,713 ÷ 2 = 161,866,856.5

If the quotient is a whole number, then 2 and 161,866,856.5 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:

1 323,733,713
-1 -323,733,713

Now, we try dividing 323,733,713 by 3:

323,733,713 ÷ 3 = 107,911,237.6667

If the quotient is a whole number, then 3 and 107,911,237.6667 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:

1 323,733,713
-1 -323,733,713

Let's try dividing by 4:

323,733,713 ÷ 4 = 80,933,428.25

If the quotient is a whole number, then 4 and 80,933,428.25 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:

1 323,733,713
-1 323,733,713
Keep dividing by the next highest number until you cannot divide anymore.

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

131432111,1511,3336,5419,07335,68149,493242,861281,2631,534,2837,528,69110,443,023323,733,713
-1-31-43-211-1,151-1,333-6,541-9,073-35,681-49,493-242,861-281,263-1,534,283-7,528,691-10,443,023-323,733,713

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