Q: What are the factor combinations of the number 18,307,745?

 A:
Positive:   1 x 183077455 x 366154989 x 205705445 x 41141
Negative: -1 x -18307745-5 x -3661549-89 x -205705-445 x -41141


How do I find the factor combinations of the number 18,307,745?

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 18,307,745, 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 18,307,745
-1 -18,307,745

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 18,307,745.

Example:
1 x 18,307,745 = 18,307,745
and
-1 x -18,307,745 = 18,307,745
Notice both answers equal 18,307,745

With that explanation out of the way, let's continue. Next, we take the number 18,307,745 and divide it by 2:

18,307,745 ÷ 2 = 9,153,872.5

If the quotient is a whole number, then 2 and 9,153,872.5 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 18,307,745
-1 -18,307,745

Now, we try dividing 18,307,745 by 3:

18,307,745 ÷ 3 = 6,102,581.6667

If the quotient is a whole number, then 3 and 6,102,581.6667 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 18,307,745
-1 -18,307,745

Let's try dividing by 4:

18,307,745 ÷ 4 = 4,576,936.25

If the quotient is a whole number, then 4 and 4,576,936.25 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 18,307,745
-1 18,307,745
Keep dividing by the next highest number until you cannot divide anymore.

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

158944541,141205,7053,661,54918,307,745
-1-5-89-445-41,141-205,705-3,661,549-18,307,745

More Examples

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