Q: What are the factor combinations of the number 108,047,845?

 A:
Positive:   1 x 1080478455 x 216095691283 x 842156415 x 16843
Negative: -1 x -108047845-5 x -21609569-1283 x -84215-6415 x -16843


How do I find the factor combinations of the number 108,047,845?

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 108,047,845, 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.

1 108,047,845
-1 -108,047,845

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 108,047,845.

Example:
1 x 108,047,845 = 108,047,845
and
-1 x -108,047,845 = 108,047,845
Notice both answers equal 108,047,845

With that explanation out of the way, let's continue. Next, we take the number 108,047,845 and divide it by 2:

108,047,845 ÷ 2 = 54,023,922.5

If the quotient is a whole number, then 2 and 54,023,922.5 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:

1 108,047,845
-1 -108,047,845

Now, we try dividing 108,047,845 by 3:

108,047,845 ÷ 3 = 36,015,948.3333

If the quotient is a whole number, then 3 and 36,015,948.3333 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:

1 108,047,845
-1 -108,047,845

Let's try dividing by 4:

108,047,845 ÷ 4 = 27,011,961.25

If the quotient is a whole number, then 4 and 27,011,961.25 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:

1 108,047,845
-1 108,047,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2836,41516,84384,21521,609,569108,047,845
-1-5-1,283-6,415-16,843-84,215-21,609,569-108,047,845

More Examples

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