Q: What are the factor combinations of the number 117,670,093?

 A:
Positive:   1 x 11767009323 x 511609147 x 2503619199 x 591307547 x 2151191081 x 1088534577 x 257099353 x 12581
Negative: -1 x -117670093-23 x -5116091-47 x -2503619-199 x -591307-547 x -215119-1081 x -108853-4577 x -25709-9353 x -12581


How do I find the factor combinations of the number 117,670,093?

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 117,670,093, 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.

1 117,670,093
-1 -117,670,093

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 117,670,093.

Example:
1 x 117,670,093 = 117,670,093
and
-1 x -117,670,093 = 117,670,093
Notice both answers equal 117,670,093

With that explanation out of the way, let's continue. Next, we take the number 117,670,093 and divide it by 2:

117,670,093 ÷ 2 = 58,835,046.5

If the quotient is a whole number, then 2 and 58,835,046.5 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:

1 117,670,093
-1 -117,670,093

Now, we try dividing 117,670,093 by 3:

117,670,093 ÷ 3 = 39,223,364.3333

If the quotient is a whole number, then 3 and 39,223,364.3333 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:

1 117,670,093
-1 -117,670,093

Let's try dividing by 4:

117,670,093 ÷ 4 = 29,417,523.25

If the quotient is a whole number, then 4 and 29,417,523.25 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:

1 117,670,093
-1 117,670,093
Keep dividing by the next highest number until you cannot divide anymore.

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

123471995471,0814,5779,35312,58125,709108,853215,119591,3072,503,6195,116,091117,670,093
-1-23-47-199-547-1,081-4,577-9,353-12,581-25,709-108,853-215,119-591,307-2,503,619-5,116,091-117,670,093

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