Q: What are the factor combinations of the number 117,474,055?

 A:
Positive:   1 x 1174740555 x 2349481119 x 618284595 x 1236569197 x 596315985 x 1192633743 x 313856277 x 18715
Negative: -1 x -117474055-5 x -23494811-19 x -6182845-95 x -1236569-197 x -596315-985 x -119263-3743 x -31385-6277 x -18715


How do I find the factor combinations of the number 117,474,055?

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 117,474,055, 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.

1 117,474,055
-1 -117,474,055

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 117,474,055.

Example:
1 x 117,474,055 = 117,474,055
and
-1 x -117,474,055 = 117,474,055
Notice both answers equal 117,474,055

With that explanation out of the way, let's continue. Next, we take the number 117,474,055 and divide it by 2:

117,474,055 ÷ 2 = 58,737,027.5

If the quotient is a whole number, then 2 and 58,737,027.5 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:

1 117,474,055
-1 -117,474,055

Now, we try dividing 117,474,055 by 3:

117,474,055 ÷ 3 = 39,158,018.3333

If the quotient is a whole number, then 3 and 39,158,018.3333 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:

1 117,474,055
-1 -117,474,055

Let's try dividing by 4:

117,474,055 ÷ 4 = 29,368,513.75

If the quotient is a whole number, then 4 and 29,368,513.75 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:

1 117,474,055
-1 117,474,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951979853,7436,27718,71531,385119,263596,3151,236,5696,182,84523,494,811117,474,055
-1-5-19-95-197-985-3,743-6,277-18,715-31,385-119,263-596,315-1,236,569-6,182,845-23,494,811-117,474,055

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