Q: What are the factor combinations of the number 26,940,163?

 A:
Positive:   1 x 26940163
Negative: -1 x -26940163


How do I find the factor combinations of the number 26,940,163?

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 26,940,163, 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 26,940,163
-1 -26,940,163

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 26,940,163.

Example:
1 x 26,940,163 = 26,940,163
and
-1 x -26,940,163 = 26,940,163
Notice both answers equal 26,940,163

With that explanation out of the way, let's continue. Next, we take the number 26,940,163 and divide it by 2:

26,940,163 ÷ 2 = 13,470,081.5

If the quotient is a whole number, then 2 and 13,470,081.5 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 26,940,163
-1 -26,940,163

Now, we try dividing 26,940,163 by 3:

26,940,163 ÷ 3 = 8,980,054.3333

If the quotient is a whole number, then 3 and 8,980,054.3333 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 26,940,163
-1 -26,940,163

Let's try dividing by 4:

26,940,163 ÷ 4 = 6,735,040.75

If the quotient is a whole number, then 4 and 6,735,040.75 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 26,940,163
-1 26,940,163
Keep dividing by the next highest number until you cannot divide anymore.

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

126,940,163
-1-26,940,163

More Examples

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