Q: What are the factor combinations of the number 132,155,309?

 A:
Positive:   1 x 13215530911 x 1201411913 x 1016579323 x 5745883143 x 924163253 x 522353299 x 441991529 x 2498211747 x 756473289 x 401815819 x 227116877 x 19217
Negative: -1 x -132155309-11 x -12014119-13 x -10165793-23 x -5745883-143 x -924163-253 x -522353-299 x -441991-529 x -249821-1747 x -75647-3289 x -40181-5819 x -22711-6877 x -19217


How do I find the factor combinations of the number 132,155,309?

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 132,155,309, 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.

1 132,155,309
-1 -132,155,309

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 132,155,309.

Example:
1 x 132,155,309 = 132,155,309
and
-1 x -132,155,309 = 132,155,309
Notice both answers equal 132,155,309

With that explanation out of the way, let's continue. Next, we take the number 132,155,309 and divide it by 2:

132,155,309 ÷ 2 = 66,077,654.5

If the quotient is a whole number, then 2 and 66,077,654.5 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:

1 132,155,309
-1 -132,155,309

Now, we try dividing 132,155,309 by 3:

132,155,309 ÷ 3 = 44,051,769.6667

If the quotient is a whole number, then 3 and 44,051,769.6667 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:

1 132,155,309
-1 -132,155,309

Let's try dividing by 4:

132,155,309 ÷ 4 = 33,038,827.25

If the quotient is a whole number, then 4 and 33,038,827.25 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:

1 132,155,309
-1 132,155,309
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532995291,7473,2895,8196,87719,21722,71140,18175,647249,821441,991522,353924,1635,745,88310,165,79312,014,119132,155,309
-1-11-13-23-143-253-299-529-1,747-3,289-5,819-6,877-19,217-22,711-40,181-75,647-249,821-441,991-522,353-924,163-5,745,883-10,165,793-12,014,119-132,155,309

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