Q: What are the factor combinations of the number 131,422,055?

 A:
Positive:   1 x 1314220555 x 2628441129 x 4531795145 x 906359523 x 2512851733 x 758352615 x 502578665 x 15167
Negative: -1 x -131422055-5 x -26284411-29 x -4531795-145 x -906359-523 x -251285-1733 x -75835-2615 x -50257-8665 x -15167


How do I find the factor combinations of the number 131,422,055?

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 131,422,055, 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.

1 131,422,055
-1 -131,422,055

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 131,422,055.

Example:
1 x 131,422,055 = 131,422,055
and
-1 x -131,422,055 = 131,422,055
Notice both answers equal 131,422,055

With that explanation out of the way, let's continue. Next, we take the number 131,422,055 and divide it by 2:

131,422,055 ÷ 2 = 65,711,027.5

If the quotient is a whole number, then 2 and 65,711,027.5 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:

1 131,422,055
-1 -131,422,055

Now, we try dividing 131,422,055 by 3:

131,422,055 ÷ 3 = 43,807,351.6667

If the quotient is a whole number, then 3 and 43,807,351.6667 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:

1 131,422,055
-1 -131,422,055

Let's try dividing by 4:

131,422,055 ÷ 4 = 32,855,513.75

If the quotient is a whole number, then 4 and 32,855,513.75 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:

1 131,422,055
-1 131,422,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15291455231,7332,6158,66515,16750,25775,835251,285906,3594,531,79526,284,411131,422,055
-1-5-29-145-523-1,733-2,615-8,665-15,167-50,257-75,835-251,285-906,359-4,531,795-26,284,411-131,422,055

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 131,422,055:


Ask a Question