Q: What are the factor combinations of the number 132,155,305?

 A:
Positive:   1 x 1321553055 x 2643106137 x 357176547 x 2811815185 x 714353235 x 5623631739 x 759958695 x 15199
Negative: -1 x -132155305-5 x -26431061-37 x -3571765-47 x -2811815-185 x -714353-235 x -562363-1739 x -75995-8695 x -15199


How do I find the factor combinations of the number 132,155,305?

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 132,155,305, 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.

1 132,155,305
-1 -132,155,305

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 132,155,305.

Example:
1 x 132,155,305 = 132,155,305
and
-1 x -132,155,305 = 132,155,305
Notice both answers equal 132,155,305

With that explanation out of the way, let's continue. Next, we take the number 132,155,305 and divide it by 2:

132,155,305 ÷ 2 = 66,077,652.5

If the quotient is a whole number, then 2 and 66,077,652.5 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:

1 132,155,305
-1 -132,155,305

Now, we try dividing 132,155,305 by 3:

132,155,305 ÷ 3 = 44,051,768.3333

If the quotient is a whole number, then 3 and 44,051,768.3333 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:

1 132,155,305
-1 -132,155,305

Let's try dividing by 4:

132,155,305 ÷ 4 = 33,038,826.25

If the quotient is a whole number, then 4 and 33,038,826.25 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:

1 132,155,305
-1 132,155,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1537471852351,7398,69515,19975,995562,363714,3532,811,8153,571,76526,431,061132,155,305
-1-5-37-47-185-235-1,739-8,695-15,199-75,995-562,363-714,353-2,811,815-3,571,765-26,431,061-132,155,305

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