Q: What are the factor combinations of the number 132,235,235?

 A:
Positive:   1 x 1322352355 x 2644704711 x 1202138555 x 2404277457 x 2893552285 x 578715027 x 263055261 x 25135
Negative: -1 x -132235235-5 x -26447047-11 x -12021385-55 x -2404277-457 x -289355-2285 x -57871-5027 x -26305-5261 x -25135


How do I find the factor combinations of the number 132,235,235?

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 132,235,235, 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.

1 132,235,235
-1 -132,235,235

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 132,235,235.

Example:
1 x 132,235,235 = 132,235,235
and
-1 x -132,235,235 = 132,235,235
Notice both answers equal 132,235,235

With that explanation out of the way, let's continue. Next, we take the number 132,235,235 and divide it by 2:

132,235,235 ÷ 2 = 66,117,617.5

If the quotient is a whole number, then 2 and 66,117,617.5 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:

1 132,235,235
-1 -132,235,235

Now, we try dividing 132,235,235 by 3:

132,235,235 ÷ 3 = 44,078,411.6667

If the quotient is a whole number, then 3 and 44,078,411.6667 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:

1 132,235,235
-1 -132,235,235

Let's try dividing by 4:

132,235,235 ÷ 4 = 33,058,808.75

If the quotient is a whole number, then 4 and 33,058,808.75 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:

1 132,235,235
-1 132,235,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554572,2855,0275,26125,13526,30557,871289,3552,404,27712,021,38526,447,047132,235,235
-1-5-11-55-457-2,285-5,027-5,261-25,135-26,305-57,871-289,355-2,404,277-12,021,385-26,447,047-132,235,235

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