Q: What are the factor combinations of the number 320,365,321?

 A:
Positive:   1 x 32036532123 x 13928927137 x 2338433293 x 1093397347 x 9232433151 x 1016716739 x 475397981 x 40141
Negative: -1 x -320365321-23 x -13928927-137 x -2338433-293 x -1093397-347 x -923243-3151 x -101671-6739 x -47539-7981 x -40141


How do I find the factor combinations of the number 320,365,321?

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 320,365,321, 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.

1 320,365,321
-1 -320,365,321

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 320,365,321.

Example:
1 x 320,365,321 = 320,365,321
and
-1 x -320,365,321 = 320,365,321
Notice both answers equal 320,365,321

With that explanation out of the way, let's continue. Next, we take the number 320,365,321 and divide it by 2:

320,365,321 ÷ 2 = 160,182,660.5

If the quotient is a whole number, then 2 and 160,182,660.5 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:

1 320,365,321
-1 -320,365,321

Now, we try dividing 320,365,321 by 3:

320,365,321 ÷ 3 = 106,788,440.3333

If the quotient is a whole number, then 3 and 106,788,440.3333 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:

1 320,365,321
-1 -320,365,321

Let's try dividing by 4:

320,365,321 ÷ 4 = 80,091,330.25

If the quotient is a whole number, then 4 and 80,091,330.25 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:

1 320,365,321
-1 320,365,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1231372933473,1516,7397,98140,14147,539101,671923,2431,093,3972,338,43313,928,927320,365,321
-1-23-137-293-347-3,151-6,739-7,981-40,141-47,539-101,671-923,243-1,093,397-2,338,433-13,928,927-320,365,321

More Examples

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