Q: What are the factor combinations of the number 123,320,135?

 A:
Positive:   1 x 1233201355 x 2466402723 x 536174553 x 2326795115 x 1072349265 x 4653591219 x 1011656095 x 20233
Negative: -1 x -123320135-5 x -24664027-23 x -5361745-53 x -2326795-115 x -1072349-265 x -465359-1219 x -101165-6095 x -20233


How do I find the factor combinations of the number 123,320,135?

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 123,320,135, 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.

1 123,320,135
-1 -123,320,135

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 123,320,135.

Example:
1 x 123,320,135 = 123,320,135
and
-1 x -123,320,135 = 123,320,135
Notice both answers equal 123,320,135

With that explanation out of the way, let's continue. Next, we take the number 123,320,135 and divide it by 2:

123,320,135 ÷ 2 = 61,660,067.5

If the quotient is a whole number, then 2 and 61,660,067.5 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:

1 123,320,135
-1 -123,320,135

Now, we try dividing 123,320,135 by 3:

123,320,135 ÷ 3 = 41,106,711.6667

If the quotient is a whole number, then 3 and 41,106,711.6667 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:

1 123,320,135
-1 -123,320,135

Let's try dividing by 4:

123,320,135 ÷ 4 = 30,830,033.75

If the quotient is a whole number, then 4 and 30,830,033.75 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:

1 123,320,135
-1 123,320,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1523531152651,2196,09520,233101,165465,3591,072,3492,326,7955,361,74524,664,027123,320,135
-1-5-23-53-115-265-1,219-6,095-20,233-101,165-465,359-1,072,349-2,326,795-5,361,745-24,664,027-123,320,135

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