Q: What are the factor combinations of the number 107,150,177?

 A:
Positive:   1 x 10715017719 x 563948347 x 227979197 x 1104641893 x 1199891237 x 866211843 x 581394559 x 23503
Negative: -1 x -107150177-19 x -5639483-47 x -2279791-97 x -1104641-893 x -119989-1237 x -86621-1843 x -58139-4559 x -23503


How do I find the factor combinations of the number 107,150,177?

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 107,150,177, 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.

1 107,150,177
-1 -107,150,177

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 107,150,177.

Example:
1 x 107,150,177 = 107,150,177
and
-1 x -107,150,177 = 107,150,177
Notice both answers equal 107,150,177

With that explanation out of the way, let's continue. Next, we take the number 107,150,177 and divide it by 2:

107,150,177 ÷ 2 = 53,575,088.5

If the quotient is a whole number, then 2 and 53,575,088.5 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:

1 107,150,177
-1 -107,150,177

Now, we try dividing 107,150,177 by 3:

107,150,177 ÷ 3 = 35,716,725.6667

If the quotient is a whole number, then 3 and 35,716,725.6667 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:

1 107,150,177
-1 -107,150,177

Let's try dividing by 4:

107,150,177 ÷ 4 = 26,787,544.25

If the quotient is a whole number, then 4 and 26,787,544.25 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:

1 107,150,177
-1 107,150,177
Keep dividing by the next highest number until you cannot divide anymore.

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

11947978931,2371,8434,55923,50358,13986,621119,9891,104,6412,279,7915,639,483107,150,177
-1-19-47-97-893-1,237-1,843-4,559-23,503-58,139-86,621-119,989-1,104,641-2,279,791-5,639,483-107,150,177

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