Q: What are the factor combinations of the number 116,052,871?

 A:
Positive:   1 x 11605287111 x 1055026123 x 504577731 x 3743641253 x 458707341 x 340331713 x 1627677843 x 14797
Negative: -1 x -116052871-11 x -10550261-23 x -5045777-31 x -3743641-253 x -458707-341 x -340331-713 x -162767-7843 x -14797


How do I find the factor combinations of the number 116,052,871?

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 116,052,871, 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.

1 116,052,871
-1 -116,052,871

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 116,052,871.

Example:
1 x 116,052,871 = 116,052,871
and
-1 x -116,052,871 = 116,052,871
Notice both answers equal 116,052,871

With that explanation out of the way, let's continue. Next, we take the number 116,052,871 and divide it by 2:

116,052,871 ÷ 2 = 58,026,435.5

If the quotient is a whole number, then 2 and 58,026,435.5 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:

1 116,052,871
-1 -116,052,871

Now, we try dividing 116,052,871 by 3:

116,052,871 ÷ 3 = 38,684,290.3333

If the quotient is a whole number, then 3 and 38,684,290.3333 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:

1 116,052,871
-1 -116,052,871

Let's try dividing by 4:

116,052,871 ÷ 4 = 29,013,217.75

If the quotient is a whole number, then 4 and 29,013,217.75 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:

1 116,052,871
-1 116,052,871
Keep dividing by the next highest number until you cannot divide anymore.

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

11123312533417137,84314,797162,767340,331458,7073,743,6415,045,77710,550,261116,052,871
-1-11-23-31-253-341-713-7,843-14,797-162,767-340,331-458,707-3,743,641-5,045,777-10,550,261-116,052,871

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