Q: What are the factor combinations of the number 131,631,731?

 A:
Positive:   1 x 1316317317 x 1880453311 x 1196652117 x 774304377 x 1709503119 x 1106149187 x 7039131309 x 100559
Negative: -1 x -131631731-7 x -18804533-11 x -11966521-17 x -7743043-77 x -1709503-119 x -1106149-187 x -703913-1309 x -100559


How do I find the factor combinations of the number 131,631,731?

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 131,631,731, 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.

1 131,631,731
-1 -131,631,731

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 131,631,731.

Example:
1 x 131,631,731 = 131,631,731
and
-1 x -131,631,731 = 131,631,731
Notice both answers equal 131,631,731

With that explanation out of the way, let's continue. Next, we take the number 131,631,731 and divide it by 2:

131,631,731 ÷ 2 = 65,815,865.5

If the quotient is a whole number, then 2 and 65,815,865.5 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:

1 131,631,731
-1 -131,631,731

Now, we try dividing 131,631,731 by 3:

131,631,731 ÷ 3 = 43,877,243.6667

If the quotient is a whole number, then 3 and 43,877,243.6667 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:

1 131,631,731
-1 -131,631,731

Let's try dividing by 4:

131,631,731 ÷ 4 = 32,907,932.75

If the quotient is a whole number, then 4 and 32,907,932.75 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:

1 131,631,731
-1 131,631,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,309100,559703,9131,106,1491,709,5037,743,04311,966,52118,804,533131,631,731
-1-7-11-17-77-119-187-1,309-100,559-703,913-1,106,149-1,709,503-7,743,043-11,966,521-18,804,533-131,631,731

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 131,631,731:


Ask a Question