Q: What are the factor combinations of the number 116,760,305?

 A:
Positive:   1 x 1167603055 x 2335206123 x 5076535115 x 1015307137 x 852265685 x 1704533151 x 370557411 x 15755
Negative: -1 x -116760305-5 x -23352061-23 x -5076535-115 x -1015307-137 x -852265-685 x -170453-3151 x -37055-7411 x -15755


How do I find the factor combinations of the number 116,760,305?

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 116,760,305, 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.

1 116,760,305
-1 -116,760,305

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 116,760,305.

Example:
1 x 116,760,305 = 116,760,305
and
-1 x -116,760,305 = 116,760,305
Notice both answers equal 116,760,305

With that explanation out of the way, let's continue. Next, we take the number 116,760,305 and divide it by 2:

116,760,305 ÷ 2 = 58,380,152.5

If the quotient is a whole number, then 2 and 58,380,152.5 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:

1 116,760,305
-1 -116,760,305

Now, we try dividing 116,760,305 by 3:

116,760,305 ÷ 3 = 38,920,101.6667

If the quotient is a whole number, then 3 and 38,920,101.6667 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:

1 116,760,305
-1 -116,760,305

Let's try dividing by 4:

116,760,305 ÷ 4 = 29,190,076.25

If the quotient is a whole number, then 4 and 29,190,076.25 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:

1 116,760,305
-1 116,760,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151376853,1517,41115,75537,055170,453852,2651,015,3075,076,53523,352,061116,760,305
-1-5-23-115-137-685-3,151-7,411-15,755-37,055-170,453-852,265-1,015,307-5,076,535-23,352,061-116,760,305

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