Q: What are the factor combinations of the number 116,337,085?

 A:
Positive:   1 x 1163370855 x 2326741759 x 1971815295 x 394363
Negative: -1 x -116337085-5 x -23267417-59 x -1971815-295 x -394363


How do I find the factor combinations of the number 116,337,085?

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 116,337,085, 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.

1 116,337,085
-1 -116,337,085

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 116,337,085.

Example:
1 x 116,337,085 = 116,337,085
and
-1 x -116,337,085 = 116,337,085
Notice both answers equal 116,337,085

With that explanation out of the way, let's continue. Next, we take the number 116,337,085 and divide it by 2:

116,337,085 ÷ 2 = 58,168,542.5

If the quotient is a whole number, then 2 and 58,168,542.5 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:

1 116,337,085
-1 -116,337,085

Now, we try dividing 116,337,085 by 3:

116,337,085 ÷ 3 = 38,779,028.3333

If the quotient is a whole number, then 3 and 38,779,028.3333 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:

1 116,337,085
-1 -116,337,085

Let's try dividing by 4:

116,337,085 ÷ 4 = 29,084,271.25

If the quotient is a whole number, then 4 and 29,084,271.25 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:

1 116,337,085
-1 116,337,085
Keep dividing by the next highest number until you cannot divide anymore.

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

1559295394,3631,971,81523,267,417116,337,085
-1-5-59-295-394,363-1,971,815-23,267,417-116,337,085

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