Q: What are the factor combinations of the number 117,811,885?

 A:
Positive:   1 x 1178118855 x 2356237737 x 3184105185 x 636821
Negative: -1 x -117811885-5 x -23562377-37 x -3184105-185 x -636821


How do I find the factor combinations of the number 117,811,885?

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 117,811,885, 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.

1 117,811,885
-1 -117,811,885

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 117,811,885.

Example:
1 x 117,811,885 = 117,811,885
and
-1 x -117,811,885 = 117,811,885
Notice both answers equal 117,811,885

With that explanation out of the way, let's continue. Next, we take the number 117,811,885 and divide it by 2:

117,811,885 ÷ 2 = 58,905,942.5

If the quotient is a whole number, then 2 and 58,905,942.5 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:

1 117,811,885
-1 -117,811,885

Now, we try dividing 117,811,885 by 3:

117,811,885 ÷ 3 = 39,270,628.3333

If the quotient is a whole number, then 3 and 39,270,628.3333 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:

1 117,811,885
-1 -117,811,885

Let's try dividing by 4:

117,811,885 ÷ 4 = 29,452,971.25

If the quotient is a whole number, then 4 and 29,452,971.25 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:

1 117,811,885
-1 117,811,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1537185636,8213,184,10523,562,377117,811,885
-1-5-37-185-636,821-3,184,105-23,562,377-117,811,885

More Examples

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