Q: What are the factor combinations of the number 27,556,495?

 A:
Positive:   1 x 275564955 x 5511299
Negative: -1 x -27556495-5 x -5511299


How do I find the factor combinations of the number 27,556,495?

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 27,556,495, 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 27,556,495
-1 -27,556,495

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 27,556,495.

Example:
1 x 27,556,495 = 27,556,495
and
-1 x -27,556,495 = 27,556,495
Notice both answers equal 27,556,495

With that explanation out of the way, let's continue. Next, we take the number 27,556,495 and divide it by 2:

27,556,495 ÷ 2 = 13,778,247.5

If the quotient is a whole number, then 2 and 13,778,247.5 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 27,556,495
-1 -27,556,495

Now, we try dividing 27,556,495 by 3:

27,556,495 ÷ 3 = 9,185,498.3333

If the quotient is a whole number, then 3 and 9,185,498.3333 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 27,556,495
-1 -27,556,495

Let's try dividing by 4:

27,556,495 ÷ 4 = 6,889,123.75

If the quotient is a whole number, then 4 and 6,889,123.75 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 27,556,495
-1 27,556,495
Keep dividing by the next highest number until you cannot divide anymore.

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

155,511,29927,556,495
-1-5-5,511,299-27,556,495

More Examples

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