Q: What are the factor combinations of the number 132,144,125?

 A:
Positive:   1 x 1321441255 x 2642882525 x 5285765125 x 1057153479 x 2758752207 x 598752395 x 5517511035 x 11975
Negative: -1 x -132144125-5 x -26428825-25 x -5285765-125 x -1057153-479 x -275875-2207 x -59875-2395 x -55175-11035 x -11975


How do I find the factor combinations of the number 132,144,125?

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 132,144,125, 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.

1 132,144,125
-1 -132,144,125

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 132,144,125.

Example:
1 x 132,144,125 = 132,144,125
and
-1 x -132,144,125 = 132,144,125
Notice both answers equal 132,144,125

With that explanation out of the way, let's continue. Next, we take the number 132,144,125 and divide it by 2:

132,144,125 ÷ 2 = 66,072,062.5

If the quotient is a whole number, then 2 and 66,072,062.5 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:

1 132,144,125
-1 -132,144,125

Now, we try dividing 132,144,125 by 3:

132,144,125 ÷ 3 = 44,048,041.6667

If the quotient is a whole number, then 3 and 44,048,041.6667 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:

1 132,144,125
-1 -132,144,125

Let's try dividing by 4:

132,144,125 ÷ 4 = 33,036,031.25

If the quotient is a whole number, then 4 and 33,036,031.25 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:

1 132,144,125
-1 132,144,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254792,2072,39511,03511,97555,17559,875275,8751,057,1535,285,76526,428,825132,144,125
-1-5-25-125-479-2,207-2,395-11,035-11,975-55,175-59,875-275,875-1,057,153-5,285,765-26,428,825-132,144,125

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