Q: What are the factor combinations of the number 132,632,105?

 A:
Positive:   1 x 1326321055 x 2652642131 x 4278455155 x 855691577 x 2298651483 x 894352885 x 459737415 x 17887
Negative: -1 x -132632105-5 x -26526421-31 x -4278455-155 x -855691-577 x -229865-1483 x -89435-2885 x -45973-7415 x -17887


How do I find the factor combinations of the number 132,632,105?

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 132,632,105, 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.

1 132,632,105
-1 -132,632,105

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 132,632,105.

Example:
1 x 132,632,105 = 132,632,105
and
-1 x -132,632,105 = 132,632,105
Notice both answers equal 132,632,105

With that explanation out of the way, let's continue. Next, we take the number 132,632,105 and divide it by 2:

132,632,105 ÷ 2 = 66,316,052.5

If the quotient is a whole number, then 2 and 66,316,052.5 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:

1 132,632,105
-1 -132,632,105

Now, we try dividing 132,632,105 by 3:

132,632,105 ÷ 3 = 44,210,701.6667

If the quotient is a whole number, then 3 and 44,210,701.6667 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:

1 132,632,105
-1 -132,632,105

Let's try dividing by 4:

132,632,105 ÷ 4 = 33,158,026.25

If the quotient is a whole number, then 4 and 33,158,026.25 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:

1 132,632,105
-1 132,632,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15311555771,4832,8857,41517,88745,97389,435229,865855,6914,278,45526,526,421132,632,105
-1-5-31-155-577-1,483-2,885-7,415-17,887-45,973-89,435-229,865-855,691-4,278,455-26,526,421-132,632,105

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