Q: What are the factor combinations of the number 132,273,625?

 A:
Positive:   1 x 1322736255 x 2645472511 x 1202487525 x 529094555 x 2404975125 x 1058189275 x 4809951375 x 96199
Negative: -1 x -132273625-5 x -26454725-11 x -12024875-25 x -5290945-55 x -2404975-125 x -1058189-275 x -480995-1375 x -96199


How do I find the factor combinations of the number 132,273,625?

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 132,273,625, 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.

1 132,273,625
-1 -132,273,625

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 132,273,625.

Example:
1 x 132,273,625 = 132,273,625
and
-1 x -132,273,625 = 132,273,625
Notice both answers equal 132,273,625

With that explanation out of the way, let's continue. Next, we take the number 132,273,625 and divide it by 2:

132,273,625 ÷ 2 = 66,136,812.5

If the quotient is a whole number, then 2 and 66,136,812.5 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:

1 132,273,625
-1 -132,273,625

Now, we try dividing 132,273,625 by 3:

132,273,625 ÷ 3 = 44,091,208.3333

If the quotient is a whole number, then 3 and 44,091,208.3333 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:

1 132,273,625
-1 -132,273,625

Let's try dividing by 4:

132,273,625 ÷ 4 = 33,068,406.25

If the quotient is a whole number, then 4 and 33,068,406.25 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:

1 132,273,625
-1 132,273,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37596,199480,9951,058,1892,404,9755,290,94512,024,87526,454,725132,273,625
-1-5-11-25-55-125-275-1,375-96,199-480,995-1,058,189-2,404,975-5,290,945-12,024,875-26,454,725-132,273,625

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