Q: What are the factor combinations of the number 116,640,667?

 A:
Positive:   1 x 11664066711 x 1060369713 x 8972359143 x 815669
Negative: -1 x -116640667-11 x -10603697-13 x -8972359-143 x -815669


How do I find the factor combinations of the number 116,640,667?

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 116,640,667, 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.

1 116,640,667
-1 -116,640,667

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 116,640,667.

Example:
1 x 116,640,667 = 116,640,667
and
-1 x -116,640,667 = 116,640,667
Notice both answers equal 116,640,667

With that explanation out of the way, let's continue. Next, we take the number 116,640,667 and divide it by 2:

116,640,667 ÷ 2 = 58,320,333.5

If the quotient is a whole number, then 2 and 58,320,333.5 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:

1 116,640,667
-1 -116,640,667

Now, we try dividing 116,640,667 by 3:

116,640,667 ÷ 3 = 38,880,222.3333

If the quotient is a whole number, then 3 and 38,880,222.3333 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:

1 116,640,667
-1 -116,640,667

Let's try dividing by 4:

116,640,667 ÷ 4 = 29,160,166.75

If the quotient is a whole number, then 4 and 29,160,166.75 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:

1 116,640,667
-1 116,640,667
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143815,6698,972,35910,603,697116,640,667
-1-11-13-143-815,669-8,972,359-10,603,697-116,640,667

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