Q: What are the factor combinations of the number 132,115,427?

 A:
Positive:   1 x 13211542723 x 574414989 x 1484443233 x 567019277 x 4769512047 x 645415359 x 246536371 x 20737
Negative: -1 x -132115427-23 x -5744149-89 x -1484443-233 x -567019-277 x -476951-2047 x -64541-5359 x -24653-6371 x -20737


How do I find the factor combinations of the number 132,115,427?

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 132,115,427, 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.

1 132,115,427
-1 -132,115,427

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 132,115,427.

Example:
1 x 132,115,427 = 132,115,427
and
-1 x -132,115,427 = 132,115,427
Notice both answers equal 132,115,427

With that explanation out of the way, let's continue. Next, we take the number 132,115,427 and divide it by 2:

132,115,427 ÷ 2 = 66,057,713.5

If the quotient is a whole number, then 2 and 66,057,713.5 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:

1 132,115,427
-1 -132,115,427

Now, we try dividing 132,115,427 by 3:

132,115,427 ÷ 3 = 44,038,475.6667

If the quotient is a whole number, then 3 and 44,038,475.6667 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:

1 132,115,427
-1 -132,115,427

Let's try dividing by 4:

132,115,427 ÷ 4 = 33,028,856.75

If the quotient is a whole number, then 4 and 33,028,856.75 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:

1 132,115,427
-1 132,115,427
Keep dividing by the next highest number until you cannot divide anymore.

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

123892332772,0475,3596,37120,73724,65364,541476,951567,0191,484,4435,744,149132,115,427
-1-23-89-233-277-2,047-5,359-6,371-20,737-24,653-64,541-476,951-567,019-1,484,443-5,744,149-132,115,427

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