Q: What are the factor combinations of the number 81,016,843?

 A:
Positive:   1 x 810168431879 x 43117
Negative: -1 x -81016843-1879 x -43117


How do I find the factor combinations of the number 81,016,843?

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 81,016,843, 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 81,016,843
-1 -81,016,843

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 81,016,843.

Example:
1 x 81,016,843 = 81,016,843
and
-1 x -81,016,843 = 81,016,843
Notice both answers equal 81,016,843

With that explanation out of the way, let's continue. Next, we take the number 81,016,843 and divide it by 2:

81,016,843 ÷ 2 = 40,508,421.5

If the quotient is a whole number, then 2 and 40,508,421.5 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 81,016,843
-1 -81,016,843

Now, we try dividing 81,016,843 by 3:

81,016,843 ÷ 3 = 27,005,614.3333

If the quotient is a whole number, then 3 and 27,005,614.3333 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 81,016,843
-1 -81,016,843

Let's try dividing by 4:

81,016,843 ÷ 4 = 20,254,210.75

If the quotient is a whole number, then 4 and 20,254,210.75 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 81,016,843
-1 81,016,843
Keep dividing by the next highest number until you cannot divide anymore.

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

11,87943,11781,016,843
-1-1,879-43,117-81,016,843

More Examples

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