Q: What are the factor combinations of the number 18,045,559?

 A:
Positive:   1 x 180455597 x 2577937457 x 394873199 x 5641
Negative: -1 x -18045559-7 x -2577937-457 x -39487-3199 x -5641


How do I find the factor combinations of the number 18,045,559?

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 18,045,559, 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 18,045,559
-1 -18,045,559

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 18,045,559.

Example:
1 x 18,045,559 = 18,045,559
and
-1 x -18,045,559 = 18,045,559
Notice both answers equal 18,045,559

With that explanation out of the way, let's continue. Next, we take the number 18,045,559 and divide it by 2:

18,045,559 ÷ 2 = 9,022,779.5

If the quotient is a whole number, then 2 and 9,022,779.5 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 18,045,559
-1 -18,045,559

Now, we try dividing 18,045,559 by 3:

18,045,559 ÷ 3 = 6,015,186.3333

If the quotient is a whole number, then 3 and 6,015,186.3333 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 18,045,559
-1 -18,045,559

Let's try dividing by 4:

18,045,559 ÷ 4 = 4,511,389.75

If the quotient is a whole number, then 4 and 4,511,389.75 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 18,045,559
-1 18,045,559
Keep dividing by the next highest number until you cannot divide anymore.

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

174573,1995,64139,4872,577,93718,045,559
-1-7-457-3,199-5,641-39,487-2,577,937-18,045,559

More Examples

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