Q: What are the factor combinations of the number 131,507,495?

 A:
Positive:   1 x 1315074955 x 263014997 x 1878678517 x 773573535 x 375735785 x 1547147119 x 1105105595 x 221021
Negative: -1 x -131507495-5 x -26301499-7 x -18786785-17 x -7735735-35 x -3757357-85 x -1547147-119 x -1105105-595 x -221021


How do I find the factor combinations of the number 131,507,495?

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 131,507,495, 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.

1 131,507,495
-1 -131,507,495

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 131,507,495.

Example:
1 x 131,507,495 = 131,507,495
and
-1 x -131,507,495 = 131,507,495
Notice both answers equal 131,507,495

With that explanation out of the way, let's continue. Next, we take the number 131,507,495 and divide it by 2:

131,507,495 ÷ 2 = 65,753,747.5

If the quotient is a whole number, then 2 and 65,753,747.5 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:

1 131,507,495
-1 -131,507,495

Now, we try dividing 131,507,495 by 3:

131,507,495 ÷ 3 = 43,835,831.6667

If the quotient is a whole number, then 3 and 43,835,831.6667 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:

1 131,507,495
-1 -131,507,495

Let's try dividing by 4:

131,507,495 ÷ 4 = 32,876,873.75

If the quotient is a whole number, then 4 and 32,876,873.75 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:

1 131,507,495
-1 131,507,495
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595221,0211,105,1051,547,1473,757,3577,735,73518,786,78526,301,499131,507,495
-1-5-7-17-35-85-119-595-221,021-1,105,105-1,547,147-3,757,357-7,735,735-18,786,785-26,301,499-131,507,495

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