Q: What are the factor combinations of the number 125,960,939?

 A:
Positive:   1 x 12596093913 x 968930317 x 7409467169 x 745331221 x 569959289 x 4358512579 x 488412873 x 438433757 x 33527
Negative: -1 x -125960939-13 x -9689303-17 x -7409467-169 x -745331-221 x -569959-289 x -435851-2579 x -48841-2873 x -43843-3757 x -33527


How do I find the factor combinations of the number 125,960,939?

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 125,960,939, 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.

1 125,960,939
-1 -125,960,939

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 125,960,939.

Example:
1 x 125,960,939 = 125,960,939
and
-1 x -125,960,939 = 125,960,939
Notice both answers equal 125,960,939

With that explanation out of the way, let's continue. Next, we take the number 125,960,939 and divide it by 2:

125,960,939 ÷ 2 = 62,980,469.5

If the quotient is a whole number, then 2 and 62,980,469.5 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:

1 125,960,939
-1 -125,960,939

Now, we try dividing 125,960,939 by 3:

125,960,939 ÷ 3 = 41,986,979.6667

If the quotient is a whole number, then 3 and 41,986,979.6667 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:

1 125,960,939
-1 -125,960,939

Let's try dividing by 4:

125,960,939 ÷ 4 = 31,490,234.75

If the quotient is a whole number, then 4 and 31,490,234.75 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:

1 125,960,939
-1 125,960,939
Keep dividing by the next highest number until you cannot divide anymore.

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

113171692212892,5792,8733,75733,52743,84348,841435,851569,959745,3317,409,4679,689,303125,960,939
-1-13-17-169-221-289-2,579-2,873-3,757-33,527-43,843-48,841-435,851-569,959-745,331-7,409,467-9,689,303-125,960,939

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