Q: What are the factor combinations of the number 18,491,087?

 A:
Positive:   1 x 1849108717 x 1087711109 x 169643289 x 63983587 x 315011853 x 9979
Negative: -1 x -18491087-17 x -1087711-109 x -169643-289 x -63983-587 x -31501-1853 x -9979


How do I find the factor combinations of the number 18,491,087?

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 18,491,087, 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 18,491,087
-1 -18,491,087

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 18,491,087.

Example:
1 x 18,491,087 = 18,491,087
and
-1 x -18,491,087 = 18,491,087
Notice both answers equal 18,491,087

With that explanation out of the way, let's continue. Next, we take the number 18,491,087 and divide it by 2:

18,491,087 ÷ 2 = 9,245,543.5

If the quotient is a whole number, then 2 and 9,245,543.5 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 18,491,087
-1 -18,491,087

Now, we try dividing 18,491,087 by 3:

18,491,087 ÷ 3 = 6,163,695.6667

If the quotient is a whole number, then 3 and 6,163,695.6667 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 18,491,087
-1 -18,491,087

Let's try dividing by 4:

18,491,087 ÷ 4 = 4,622,771.75

If the quotient is a whole number, then 4 and 4,622,771.75 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 18,491,087
-1 18,491,087
Keep dividing by the next highest number until you cannot divide anymore.

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

1171092895871,8539,97931,50163,983169,6431,087,71118,491,087
-1-17-109-289-587-1,853-9,979-31,501-63,983-169,643-1,087,711-18,491,087

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