Q: What are the factor combinations of the number 117,756,265?

 A:
Positive:   1 x 1177562655 x 2355125311 x 1070511555 x 2141023223 x 5280551115 x 1056112453 x 480059601 x 12265
Negative: -1 x -117756265-5 x -23551253-11 x -10705115-55 x -2141023-223 x -528055-1115 x -105611-2453 x -48005-9601 x -12265


How do I find the factor combinations of the number 117,756,265?

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 117,756,265, 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.

1 117,756,265
-1 -117,756,265

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 117,756,265.

Example:
1 x 117,756,265 = 117,756,265
and
-1 x -117,756,265 = 117,756,265
Notice both answers equal 117,756,265

With that explanation out of the way, let's continue. Next, we take the number 117,756,265 and divide it by 2:

117,756,265 ÷ 2 = 58,878,132.5

If the quotient is a whole number, then 2 and 58,878,132.5 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:

1 117,756,265
-1 -117,756,265

Now, we try dividing 117,756,265 by 3:

117,756,265 ÷ 3 = 39,252,088.3333

If the quotient is a whole number, then 3 and 39,252,088.3333 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:

1 117,756,265
-1 -117,756,265

Let's try dividing by 4:

117,756,265 ÷ 4 = 29,439,066.25

If the quotient is a whole number, then 4 and 29,439,066.25 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:

1 117,756,265
-1 117,756,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552231,1152,4539,60112,26548,005105,611528,0552,141,02310,705,11523,551,253117,756,265
-1-5-11-55-223-1,115-2,453-9,601-12,265-48,005-105,611-528,055-2,141,023-10,705,115-23,551,253-117,756,265

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