Q: What are the factor combinations of the number 18,018,019?

 A:
Positive:   1 x 1801801929 x 621311277 x 650472243 x 8033
Negative: -1 x -18018019-29 x -621311-277 x -65047-2243 x -8033


How do I find the factor combinations of the number 18,018,019?

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 18,018,019, 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 18,018,019
-1 -18,018,019

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 18,018,019.

Example:
1 x 18,018,019 = 18,018,019
and
-1 x -18,018,019 = 18,018,019
Notice both answers equal 18,018,019

With that explanation out of the way, let's continue. Next, we take the number 18,018,019 and divide it by 2:

18,018,019 ÷ 2 = 9,009,009.5

If the quotient is a whole number, then 2 and 9,009,009.5 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 18,018,019
-1 -18,018,019

Now, we try dividing 18,018,019 by 3:

18,018,019 ÷ 3 = 6,006,006.3333

If the quotient is a whole number, then 3 and 6,006,006.3333 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 18,018,019
-1 -18,018,019

Let's try dividing by 4:

18,018,019 ÷ 4 = 4,504,504.75

If the quotient is a whole number, then 4 and 4,504,504.75 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 18,018,019
-1 18,018,019
Keep dividing by the next highest number until you cannot divide anymore.

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

1292772,2438,03365,047621,31118,018,019
-1-29-277-2,243-8,033-65,047-621,311-18,018,019

More Examples

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