Q: What are the factor combinations of the number 132,540,317?

 A:
Positive:   1 x 1325403177 x 1893433113 x 1019540991 x 1456487173 x 7661291211 x 1094472249 x 589338419 x 15743
Negative: -1 x -132540317-7 x -18934331-13 x -10195409-91 x -1456487-173 x -766129-1211 x -109447-2249 x -58933-8419 x -15743


How do I find the factor combinations of the number 132,540,317?

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 132,540,317, 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.

1 132,540,317
-1 -132,540,317

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 132,540,317.

Example:
1 x 132,540,317 = 132,540,317
and
-1 x -132,540,317 = 132,540,317
Notice both answers equal 132,540,317

With that explanation out of the way, let's continue. Next, we take the number 132,540,317 and divide it by 2:

132,540,317 ÷ 2 = 66,270,158.5

If the quotient is a whole number, then 2 and 66,270,158.5 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:

1 132,540,317
-1 -132,540,317

Now, we try dividing 132,540,317 by 3:

132,540,317 ÷ 3 = 44,180,105.6667

If the quotient is a whole number, then 3 and 44,180,105.6667 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:

1 132,540,317
-1 -132,540,317

Let's try dividing by 4:

132,540,317 ÷ 4 = 33,135,079.25

If the quotient is a whole number, then 4 and 33,135,079.25 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:

1 132,540,317
-1 132,540,317
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911731,2112,2498,41915,74358,933109,447766,1291,456,48710,195,40918,934,331132,540,317
-1-7-13-91-173-1,211-2,249-8,419-15,743-58,933-109,447-766,129-1,456,487-10,195,409-18,934,331-132,540,317

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