Q: What are the factor combinations of the number 111,815?

 A:
Positive:   1 x 1118155 x 2236311 x 1016519 x 588555 x 203395 x 1177107 x 1045209 x 535
Negative: -1 x -111815-5 x -22363-11 x -10165-19 x -5885-55 x -2033-95 x -1177-107 x -1045-209 x -535


How do I find the factor combinations of the number 111,815?

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 111,815, 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.

1 111,815
-1 -111,815

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 111,815.

Example:
1 x 111,815 = 111,815
and
-1 x -111,815 = 111,815
Notice both answers equal 111,815

With that explanation out of the way, let's continue. Next, we take the number 111,815 and divide it by 2:

111,815 ÷ 2 = 55,907.5

If the quotient is a whole number, then 2 and 55,907.5 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:

1 111,815
-1 -111,815

Now, we try dividing 111,815 by 3:

111,815 ÷ 3 = 37,271.6667

If the quotient is a whole number, then 3 and 37,271.6667 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:

1 111,815
-1 -111,815

Let's try dividing by 4:

111,815 ÷ 4 = 27,953.75

If the quotient is a whole number, then 4 and 27,953.75 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:

1 111,815
-1 111,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955951072095351,0451,1772,0335,88510,16522,363111,815
-1-5-11-19-55-95-107-209-535-1,045-1,177-2,033-5,885-10,165-22,363-111,815

More Examples

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