Q: What are the factor combinations of the number 132,215,555?

 A:
Positive:   1 x 1322155555 x 264431111231 x 1074056155 x 21481
Negative: -1 x -132215555-5 x -26443111-1231 x -107405-6155 x -21481


How do I find the factor combinations of the number 132,215,555?

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 132,215,555, 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.

1 132,215,555
-1 -132,215,555

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 132,215,555.

Example:
1 x 132,215,555 = 132,215,555
and
-1 x -132,215,555 = 132,215,555
Notice both answers equal 132,215,555

With that explanation out of the way, let's continue. Next, we take the number 132,215,555 and divide it by 2:

132,215,555 ÷ 2 = 66,107,777.5

If the quotient is a whole number, then 2 and 66,107,777.5 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:

1 132,215,555
-1 -132,215,555

Now, we try dividing 132,215,555 by 3:

132,215,555 ÷ 3 = 44,071,851.6667

If the quotient is a whole number, then 3 and 44,071,851.6667 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:

1 132,215,555
-1 -132,215,555

Let's try dividing by 4:

132,215,555 ÷ 4 = 33,053,888.75

If the quotient is a whole number, then 4 and 33,053,888.75 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:

1 132,215,555
-1 132,215,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2316,15521,481107,40526,443,111132,215,555
-1-5-1,231-6,155-21,481-107,405-26,443,111-132,215,555

More Examples

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