Q: What are the factor combinations of the number 116,243,771?

 A:
Positive:   1 x 1162437717 x 1660625323 x 5054077161 x 722011
Negative: -1 x -116243771-7 x -16606253-23 x -5054077-161 x -722011


How do I find the factor combinations of the number 116,243,771?

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 116,243,771, 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.

1 116,243,771
-1 -116,243,771

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 116,243,771.

Example:
1 x 116,243,771 = 116,243,771
and
-1 x -116,243,771 = 116,243,771
Notice both answers equal 116,243,771

With that explanation out of the way, let's continue. Next, we take the number 116,243,771 and divide it by 2:

116,243,771 ÷ 2 = 58,121,885.5

If the quotient is a whole number, then 2 and 58,121,885.5 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:

1 116,243,771
-1 -116,243,771

Now, we try dividing 116,243,771 by 3:

116,243,771 ÷ 3 = 38,747,923.6667

If the quotient is a whole number, then 3 and 38,747,923.6667 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:

1 116,243,771
-1 -116,243,771

Let's try dividing by 4:

116,243,771 ÷ 4 = 29,060,942.75

If the quotient is a whole number, then 4 and 29,060,942.75 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:

1 116,243,771
-1 116,243,771
Keep dividing by the next highest number until you cannot divide anymore.

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

1723161722,0115,054,07716,606,253116,243,771
-1-7-23-161-722,011-5,054,077-16,606,253-116,243,771

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