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

 A:
Positive:   1 x 1314955 x 262997 x 1878513 x 1011517 x 773535 x 375765 x 202385 x 154791 x 1445119 x 1105221 x 595289 x 455
Negative: -1 x -131495-5 x -26299-7 x -18785-13 x -10115-17 x -7735-35 x -3757-65 x -2023-85 x -1547-91 x -1445-119 x -1105-221 x -595-289 x -455


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

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 131,495, 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.

1 131,495
-1 -131,495

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 131,495.

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

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

131,495 ÷ 2 = 65,747.5

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

1 131,495
-1 -131,495

Now, we try dividing 131,495 by 3:

131,495 ÷ 3 = 43,831.6667

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

1 131,495
-1 -131,495

Let's try dividing by 4:

131,495 ÷ 4 = 32,873.75

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

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

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

1571317356585911192212894555951,1051,4451,5472,0233,7577,73510,11518,78526,299131,495
-1-5-7-13-17-35-65-85-91-119-221-289-455-595-1,105-1,445-1,547-2,023-3,757-7,735-10,115-18,785-26,299-131,495

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