Q: What are the factor combinations of the number 18,111,103?

 A:
Positive:   1 x 1811110317 x 1065359673 x 269111583 x 11441
Negative: -1 x -18111103-17 x -1065359-673 x -26911-1583 x -11441


How do I find the factor combinations of the number 18,111,103?

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 18,111,103, 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 18,111,103
-1 -18,111,103

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 18,111,103.

Example:
1 x 18,111,103 = 18,111,103
and
-1 x -18,111,103 = 18,111,103
Notice both answers equal 18,111,103

With that explanation out of the way, let's continue. Next, we take the number 18,111,103 and divide it by 2:

18,111,103 ÷ 2 = 9,055,551.5

If the quotient is a whole number, then 2 and 9,055,551.5 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 18,111,103
-1 -18,111,103

Now, we try dividing 18,111,103 by 3:

18,111,103 ÷ 3 = 6,037,034.3333

If the quotient is a whole number, then 3 and 6,037,034.3333 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 18,111,103
-1 -18,111,103

Let's try dividing by 4:

18,111,103 ÷ 4 = 4,527,775.75

If the quotient is a whole number, then 4 and 4,527,775.75 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 18,111,103
-1 18,111,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1176731,58311,44126,9111,065,35918,111,103
-1-17-673-1,583-11,441-26,911-1,065,359-18,111,103

More Examples

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