Q: What are the factor combinations of the number 18,141,299?

 A:
Positive:   1 x 1814129911 x 1649209173 x 1048631903 x 9533
Negative: -1 x -18141299-11 x -1649209-173 x -104863-1903 x -9533


How do I find the factor combinations of the number 18,141,299?

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 18,141,299, 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 18,141,299
-1 -18,141,299

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 18,141,299.

Example:
1 x 18,141,299 = 18,141,299
and
-1 x -18,141,299 = 18,141,299
Notice both answers equal 18,141,299

With that explanation out of the way, let's continue. Next, we take the number 18,141,299 and divide it by 2:

18,141,299 ÷ 2 = 9,070,649.5

If the quotient is a whole number, then 2 and 9,070,649.5 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 18,141,299
-1 -18,141,299

Now, we try dividing 18,141,299 by 3:

18,141,299 ÷ 3 = 6,047,099.6667

If the quotient is a whole number, then 3 and 6,047,099.6667 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 18,141,299
-1 -18,141,299

Let's try dividing by 4:

18,141,299 ÷ 4 = 4,535,324.75

If the quotient is a whole number, then 4 and 4,535,324.75 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 18,141,299
-1 18,141,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1111731,9039,533104,8631,649,20918,141,299
-1-11-173-1,903-9,533-104,863-1,649,209-18,141,299

More Examples

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