Q: What are the factor combinations of the number 201,230,105?

 A:
Positive:   1 x 2012301055 x 4024602117 x 1183706523 x 874913585 x 2367413115 x 1749827391 x 5146551955 x 102931
Negative: -1 x -201230105-5 x -40246021-17 x -11837065-23 x -8749135-85 x -2367413-115 x -1749827-391 x -514655-1955 x -102931


How do I find the factor combinations of the number 201,230,105?

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 201,230,105, 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.

1 201,230,105
-1 -201,230,105

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 201,230,105.

Example:
1 x 201,230,105 = 201,230,105
and
-1 x -201,230,105 = 201,230,105
Notice both answers equal 201,230,105

With that explanation out of the way, let's continue. Next, we take the number 201,230,105 and divide it by 2:

201,230,105 ÷ 2 = 100,615,052.5

If the quotient is a whole number, then 2 and 100,615,052.5 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:

1 201,230,105
-1 -201,230,105

Now, we try dividing 201,230,105 by 3:

201,230,105 ÷ 3 = 67,076,701.6667

If the quotient is a whole number, then 3 and 67,076,701.6667 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:

1 201,230,105
-1 -201,230,105

Let's try dividing by 4:

201,230,105 ÷ 4 = 50,307,526.25

If the quotient is a whole number, then 4 and 50,307,526.25 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:

1 201,230,105
-1 201,230,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153911,955102,931514,6551,749,8272,367,4138,749,13511,837,06540,246,021201,230,105
-1-5-17-23-85-115-391-1,955-102,931-514,655-1,749,827-2,367,413-8,749,135-11,837,065-40,246,021-201,230,105

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