Q: What are the factor combinations of the number 110,540,315?

 A:
Positive:   1 x 1105403155 x 2210806329 x 381173543 x 2570705145 x 762347215 x 5141411247 x 886456235 x 17729
Negative: -1 x -110540315-5 x -22108063-29 x -3811735-43 x -2570705-145 x -762347-215 x -514141-1247 x -88645-6235 x -17729


How do I find the factor combinations of the number 110,540,315?

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 110,540,315, 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.

1 110,540,315
-1 -110,540,315

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 110,540,315.

Example:
1 x 110,540,315 = 110,540,315
and
-1 x -110,540,315 = 110,540,315
Notice both answers equal 110,540,315

With that explanation out of the way, let's continue. Next, we take the number 110,540,315 and divide it by 2:

110,540,315 ÷ 2 = 55,270,157.5

If the quotient is a whole number, then 2 and 55,270,157.5 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:

1 110,540,315
-1 -110,540,315

Now, we try dividing 110,540,315 by 3:

110,540,315 ÷ 3 = 36,846,771.6667

If the quotient is a whole number, then 3 and 36,846,771.6667 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:

1 110,540,315
-1 -110,540,315

Let's try dividing by 4:

110,540,315 ÷ 4 = 27,635,078.75

If the quotient is a whole number, then 4 and 27,635,078.75 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:

1 110,540,315
-1 110,540,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1529431452151,2476,23517,72988,645514,141762,3472,570,7053,811,73522,108,063110,540,315
-1-5-29-43-145-215-1,247-6,235-17,729-88,645-514,141-762,347-2,570,705-3,811,735-22,108,063-110,540,315

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