Q: What are the factor combinations of the number 81,308,107?

 A:
Positive:   1 x 813081075749 x 14143
Negative: -1 x -81308107-5749 x -14143


How do I find the factor combinations of the number 81,308,107?

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 81,308,107, 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 81,308,107
-1 -81,308,107

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 81,308,107.

Example:
1 x 81,308,107 = 81,308,107
and
-1 x -81,308,107 = 81,308,107
Notice both answers equal 81,308,107

With that explanation out of the way, let's continue. Next, we take the number 81,308,107 and divide it by 2:

81,308,107 ÷ 2 = 40,654,053.5

If the quotient is a whole number, then 2 and 40,654,053.5 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 81,308,107
-1 -81,308,107

Now, we try dividing 81,308,107 by 3:

81,308,107 ÷ 3 = 27,102,702.3333

If the quotient is a whole number, then 3 and 27,102,702.3333 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 81,308,107
-1 -81,308,107

Let's try dividing by 4:

81,308,107 ÷ 4 = 20,327,026.75

If the quotient is a whole number, then 4 and 20,327,026.75 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 81,308,107
-1 81,308,107
Keep dividing by the next highest number until you cannot divide anymore.

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

15,74914,14381,308,107
-1-5,749-14,143-81,308,107

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 81,308,107:


Ask a Question