Q: What are the factor combinations of the number 18,344,747?

 A:
Positive:   1 x 1834474719 x 965513173 x 1060393287 x 5581
Negative: -1 x -18344747-19 x -965513-173 x -106039-3287 x -5581


How do I find the factor combinations of the number 18,344,747?

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 18,344,747, 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 18,344,747
-1 -18,344,747

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 18,344,747.

Example:
1 x 18,344,747 = 18,344,747
and
-1 x -18,344,747 = 18,344,747
Notice both answers equal 18,344,747

With that explanation out of the way, let's continue. Next, we take the number 18,344,747 and divide it by 2:

18,344,747 ÷ 2 = 9,172,373.5

If the quotient is a whole number, then 2 and 9,172,373.5 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 18,344,747
-1 -18,344,747

Now, we try dividing 18,344,747 by 3:

18,344,747 ÷ 3 = 6,114,915.6667

If the quotient is a whole number, then 3 and 6,114,915.6667 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 18,344,747
-1 -18,344,747

Let's try dividing by 4:

18,344,747 ÷ 4 = 4,586,186.75

If the quotient is a whole number, then 4 and 4,586,186.75 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 18,344,747
-1 18,344,747
Keep dividing by the next highest number until you cannot divide anymore.

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

1191733,2875,581106,039965,51318,344,747
-1-19-173-3,287-5,581-106,039-965,513-18,344,747

More Examples

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