Q: What are the factor combinations of the number 100,456,135?

 A:
Positive:   1 x 1004561355 x 2009122713 x 772739519 x 528716565 x 154547995 x 1057433169 x 594415247 x 406705845 x 1188831235 x 813413211 x 312856257 x 16055
Negative: -1 x -100456135-5 x -20091227-13 x -7727395-19 x -5287165-65 x -1545479-95 x -1057433-169 x -594415-247 x -406705-845 x -118883-1235 x -81341-3211 x -31285-6257 x -16055


How do I find the factor combinations of the number 100,456,135?

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 100,456,135, 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.

1 100,456,135
-1 -100,456,135

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 100,456,135.

Example:
1 x 100,456,135 = 100,456,135
and
-1 x -100,456,135 = 100,456,135
Notice both answers equal 100,456,135

With that explanation out of the way, let's continue. Next, we take the number 100,456,135 and divide it by 2:

100,456,135 ÷ 2 = 50,228,067.5

If the quotient is a whole number, then 2 and 50,228,067.5 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:

1 100,456,135
-1 -100,456,135

Now, we try dividing 100,456,135 by 3:

100,456,135 ÷ 3 = 33,485,378.3333

If the quotient is a whole number, then 3 and 33,485,378.3333 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:

1 100,456,135
-1 -100,456,135

Let's try dividing by 4:

100,456,135 ÷ 4 = 25,114,033.75

If the quotient is a whole number, then 4 and 25,114,033.75 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:

1 100,456,135
-1 100,456,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965951692478451,2353,2116,25716,05531,28581,341118,883406,705594,4151,057,4331,545,4795,287,1657,727,39520,091,227100,456,135
-1-5-13-19-65-95-169-247-845-1,235-3,211-6,257-16,055-31,285-81,341-118,883-406,705-594,415-1,057,433-1,545,479-5,287,165-7,727,395-20,091,227-100,456,135

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