Q: What are the factor combinations of the number 131,631,563?

 A:
Positive:   1 x 1316315637 x 1880450919 x 6927977127 x 1036469133 x 989711889 x 1480672413 x 545517793 x 16891
Negative: -1 x -131631563-7 x -18804509-19 x -6927977-127 x -1036469-133 x -989711-889 x -148067-2413 x -54551-7793 x -16891


How do I find the factor combinations of the number 131,631,563?

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 131,631,563, 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.

1 131,631,563
-1 -131,631,563

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 131,631,563.

Example:
1 x 131,631,563 = 131,631,563
and
-1 x -131,631,563 = 131,631,563
Notice both answers equal 131,631,563

With that explanation out of the way, let's continue. Next, we take the number 131,631,563 and divide it by 2:

131,631,563 ÷ 2 = 65,815,781.5

If the quotient is a whole number, then 2 and 65,815,781.5 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:

1 131,631,563
-1 -131,631,563

Now, we try dividing 131,631,563 by 3:

131,631,563 ÷ 3 = 43,877,187.6667

If the quotient is a whole number, then 3 and 43,877,187.6667 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:

1 131,631,563
-1 -131,631,563

Let's try dividing by 4:

131,631,563 ÷ 4 = 32,907,890.75

If the quotient is a whole number, then 4 and 32,907,890.75 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:

1 131,631,563
-1 131,631,563
Keep dividing by the next highest number until you cannot divide anymore.

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

17191271338892,4137,79316,89154,551148,067989,7111,036,4696,927,97718,804,509131,631,563
-1-7-19-127-133-889-2,413-7,793-16,891-54,551-148,067-989,711-1,036,469-6,927,977-18,804,509-131,631,563

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