Q: What are the factor combinations of the number 115,520,105?

 A:
Positive:   1 x 1155201055 x 2310402131 x 372645537 x 3122165155 x 745291185 x 6244331147 x 1007155735 x 20143
Negative: -1 x -115520105-5 x -23104021-31 x -3726455-37 x -3122165-155 x -745291-185 x -624433-1147 x -100715-5735 x -20143


How do I find the factor combinations of the number 115,520,105?

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 115,520,105, 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.

1 115,520,105
-1 -115,520,105

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 115,520,105.

Example:
1 x 115,520,105 = 115,520,105
and
-1 x -115,520,105 = 115,520,105
Notice both answers equal 115,520,105

With that explanation out of the way, let's continue. Next, we take the number 115,520,105 and divide it by 2:

115,520,105 ÷ 2 = 57,760,052.5

If the quotient is a whole number, then 2 and 57,760,052.5 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:

1 115,520,105
-1 -115,520,105

Now, we try dividing 115,520,105 by 3:

115,520,105 ÷ 3 = 38,506,701.6667

If the quotient is a whole number, then 3 and 38,506,701.6667 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:

1 115,520,105
-1 -115,520,105

Let's try dividing by 4:

115,520,105 ÷ 4 = 28,880,026.25

If the quotient is a whole number, then 4 and 28,880,026.25 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:

1 115,520,105
-1 115,520,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551851,1475,73520,143100,715624,433745,2913,122,1653,726,45523,104,021115,520,105
-1-5-31-37-155-185-1,147-5,735-20,143-100,715-624,433-745,291-3,122,165-3,726,455-23,104,021-115,520,105

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