Q: What are the factor combinations of the number 108,816,617?

 A:
Positive:   1 x 1088166177 x 1554523113 x 837050943 x 253061991 x 1195787301 x 361517559 x 1946633913 x 27809
Negative: -1 x -108816617-7 x -15545231-13 x -8370509-43 x -2530619-91 x -1195787-301 x -361517-559 x -194663-3913 x -27809


How do I find the factor combinations of the number 108,816,617?

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 108,816,617, 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.

1 108,816,617
-1 -108,816,617

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 108,816,617.

Example:
1 x 108,816,617 = 108,816,617
and
-1 x -108,816,617 = 108,816,617
Notice both answers equal 108,816,617

With that explanation out of the way, let's continue. Next, we take the number 108,816,617 and divide it by 2:

108,816,617 ÷ 2 = 54,408,308.5

If the quotient is a whole number, then 2 and 54,408,308.5 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:

1 108,816,617
-1 -108,816,617

Now, we try dividing 108,816,617 by 3:

108,816,617 ÷ 3 = 36,272,205.6667

If the quotient is a whole number, then 3 and 36,272,205.6667 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:

1 108,816,617
-1 -108,816,617

Let's try dividing by 4:

108,816,617 ÷ 4 = 27,204,154.25

If the quotient is a whole number, then 4 and 27,204,154.25 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:

1 108,816,617
-1 108,816,617
Keep dividing by the next highest number until you cannot divide anymore.

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

171343913015593,91327,809194,663361,5171,195,7872,530,6198,370,50915,545,231108,816,617
-1-7-13-43-91-301-559-3,913-27,809-194,663-361,517-1,195,787-2,530,619-8,370,509-15,545,231-108,816,617

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