Q: What are the factor combinations of the number 131,542,675?

 A:
Positive:   1 x 1315426755 x 2630853511 x 1195842525 x 526170755 x 2391685211 x 623425275 x 4783371055 x 1246852267 x 580252321 x 566755275 x 2493711335 x 11605
Negative: -1 x -131542675-5 x -26308535-11 x -11958425-25 x -5261707-55 x -2391685-211 x -623425-275 x -478337-1055 x -124685-2267 x -58025-2321 x -56675-5275 x -24937-11335 x -11605


How do I find the factor combinations of the number 131,542,675?

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 131,542,675, 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.

1 131,542,675
-1 -131,542,675

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 131,542,675.

Example:
1 x 131,542,675 = 131,542,675
and
-1 x -131,542,675 = 131,542,675
Notice both answers equal 131,542,675

With that explanation out of the way, let's continue. Next, we take the number 131,542,675 and divide it by 2:

131,542,675 ÷ 2 = 65,771,337.5

If the quotient is a whole number, then 2 and 65,771,337.5 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:

1 131,542,675
-1 -131,542,675

Now, we try dividing 131,542,675 by 3:

131,542,675 ÷ 3 = 43,847,558.3333

If the quotient is a whole number, then 3 and 43,847,558.3333 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:

1 131,542,675
-1 -131,542,675

Let's try dividing by 4:

131,542,675 ÷ 4 = 32,885,668.75

If the quotient is a whole number, then 4 and 32,885,668.75 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:

1 131,542,675
-1 131,542,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552112751,0552,2672,3215,27511,33511,60524,93756,67558,025124,685478,337623,4252,391,6855,261,70711,958,42526,308,535131,542,675
-1-5-11-25-55-211-275-1,055-2,267-2,321-5,275-11,335-11,605-24,937-56,675-58,025-124,685-478,337-623,425-2,391,685-5,261,707-11,958,425-26,308,535-131,542,675

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