Q: What are the factor combinations of the number 116,806,771?

 A:
Positive:   1 x 1168067715417 x 21563
Negative: -1 x -116806771-5417 x -21563


How do I find the factor combinations of the number 116,806,771?

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 116,806,771, 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.

1 116,806,771
-1 -116,806,771

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 116,806,771.

Example:
1 x 116,806,771 = 116,806,771
and
-1 x -116,806,771 = 116,806,771
Notice both answers equal 116,806,771

With that explanation out of the way, let's continue. Next, we take the number 116,806,771 and divide it by 2:

116,806,771 ÷ 2 = 58,403,385.5

If the quotient is a whole number, then 2 and 58,403,385.5 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:

1 116,806,771
-1 -116,806,771

Now, we try dividing 116,806,771 by 3:

116,806,771 ÷ 3 = 38,935,590.3333

If the quotient is a whole number, then 3 and 38,935,590.3333 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:

1 116,806,771
-1 -116,806,771

Let's try dividing by 4:

116,806,771 ÷ 4 = 29,201,692.75

If the quotient is a whole number, then 4 and 29,201,692.75 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:

1 116,806,771
-1 116,806,771
Keep dividing by the next highest number until you cannot divide anymore.

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

15,41721,563116,806,771
-1-5,417-21,563-116,806,771

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