Q: What are the factor combinations of the number 27,711,845?

 A:
Positive:   1 x 277118455 x 55423697 x 395883535 x 79176753 x 522865265 x 104573371 x 746951855 x 14939
Negative: -1 x -27711845-5 x -5542369-7 x -3958835-35 x -791767-53 x -522865-265 x -104573-371 x -74695-1855 x -14939


How do I find the factor combinations of the number 27,711,845?

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 27,711,845, 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 27,711,845
-1 -27,711,845

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 27,711,845.

Example:
1 x 27,711,845 = 27,711,845
and
-1 x -27,711,845 = 27,711,845
Notice both answers equal 27,711,845

With that explanation out of the way, let's continue. Next, we take the number 27,711,845 and divide it by 2:

27,711,845 ÷ 2 = 13,855,922.5

If the quotient is a whole number, then 2 and 13,855,922.5 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 27,711,845
-1 -27,711,845

Now, we try dividing 27,711,845 by 3:

27,711,845 ÷ 3 = 9,237,281.6667

If the quotient is a whole number, then 3 and 9,237,281.6667 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 27,711,845
-1 -27,711,845

Let's try dividing by 4:

27,711,845 ÷ 4 = 6,927,961.25

If the quotient is a whole number, then 4 and 6,927,961.25 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 27,711,845
-1 27,711,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85514,93974,695104,573522,865791,7673,958,8355,542,36927,711,845
-1-5-7-35-53-265-371-1,855-14,939-74,695-104,573-522,865-791,767-3,958,835-5,542,369-27,711,845

More Examples

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