Q: What are the factor combinations of the number 111,202,135?

 A:
Positive:   1 x 1112021355 x 2224042711 x 1010928555 x 2021857383 x 2903451915 x 580694213 x 263955279 x 21065
Negative: -1 x -111202135-5 x -22240427-11 x -10109285-55 x -2021857-383 x -290345-1915 x -58069-4213 x -26395-5279 x -21065


How do I find the factor combinations of the number 111,202,135?

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 111,202,135, 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.

1 111,202,135
-1 -111,202,135

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 111,202,135.

Example:
1 x 111,202,135 = 111,202,135
and
-1 x -111,202,135 = 111,202,135
Notice both answers equal 111,202,135

With that explanation out of the way, let's continue. Next, we take the number 111,202,135 and divide it by 2:

111,202,135 ÷ 2 = 55,601,067.5

If the quotient is a whole number, then 2 and 55,601,067.5 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:

1 111,202,135
-1 -111,202,135

Now, we try dividing 111,202,135 by 3:

111,202,135 ÷ 3 = 37,067,378.3333

If the quotient is a whole number, then 3 and 37,067,378.3333 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:

1 111,202,135
-1 -111,202,135

Let's try dividing by 4:

111,202,135 ÷ 4 = 27,800,533.75

If the quotient is a whole number, then 4 and 27,800,533.75 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:

1 111,202,135
-1 111,202,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553831,9154,2135,27921,06526,39558,069290,3452,021,85710,109,28522,240,427111,202,135
-1-5-11-55-383-1,915-4,213-5,279-21,065-26,395-58,069-290,345-2,021,857-10,109,285-22,240,427-111,202,135

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