Q: What are the factor combinations of the number 132,551,431?

 A:
Positive:   1 x 13255143117 x 779714329 x 4570739313 x 423487493 x 268867859 x 1543095321 x 249119077 x 14603
Negative: -1 x -132551431-17 x -7797143-29 x -4570739-313 x -423487-493 x -268867-859 x -154309-5321 x -24911-9077 x -14603


How do I find the factor combinations of the number 132,551,431?

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 132,551,431, 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.

1 132,551,431
-1 -132,551,431

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 132,551,431.

Example:
1 x 132,551,431 = 132,551,431
and
-1 x -132,551,431 = 132,551,431
Notice both answers equal 132,551,431

With that explanation out of the way, let's continue. Next, we take the number 132,551,431 and divide it by 2:

132,551,431 ÷ 2 = 66,275,715.5

If the quotient is a whole number, then 2 and 66,275,715.5 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:

1 132,551,431
-1 -132,551,431

Now, we try dividing 132,551,431 by 3:

132,551,431 ÷ 3 = 44,183,810.3333

If the quotient is a whole number, then 3 and 44,183,810.3333 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:

1 132,551,431
-1 -132,551,431

Let's try dividing by 4:

132,551,431 ÷ 4 = 33,137,857.75

If the quotient is a whole number, then 4 and 33,137,857.75 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:

1 132,551,431
-1 132,551,431
Keep dividing by the next highest number until you cannot divide anymore.

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

117293134938595,3219,07714,60324,911154,309268,867423,4874,570,7397,797,143132,551,431
-1-17-29-313-493-859-5,321-9,077-14,603-24,911-154,309-268,867-423,487-4,570,739-7,797,143-132,551,431

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