Q: What are the factor combinations of the number 111,442,243?

 A:
Positive:   1 x 11144224311 x 10131113181 x 615703223 x 499741251 x 4439931991 x 559732453 x 454312761 x 40363
Negative: -1 x -111442243-11 x -10131113-181 x -615703-223 x -499741-251 x -443993-1991 x -55973-2453 x -45431-2761 x -40363


How do I find the factor combinations of the number 111,442,243?

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 111,442,243, 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.

1 111,442,243
-1 -111,442,243

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 111,442,243.

Example:
1 x 111,442,243 = 111,442,243
and
-1 x -111,442,243 = 111,442,243
Notice both answers equal 111,442,243

With that explanation out of the way, let's continue. Next, we take the number 111,442,243 and divide it by 2:

111,442,243 ÷ 2 = 55,721,121.5

If the quotient is a whole number, then 2 and 55,721,121.5 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:

1 111,442,243
-1 -111,442,243

Now, we try dividing 111,442,243 by 3:

111,442,243 ÷ 3 = 37,147,414.3333

If the quotient is a whole number, then 3 and 37,147,414.3333 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:

1 111,442,243
-1 -111,442,243

Let's try dividing by 4:

111,442,243 ÷ 4 = 27,860,560.75

If the quotient is a whole number, then 4 and 27,860,560.75 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:

1 111,442,243
-1 111,442,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1111812232511,9912,4532,76140,36345,43155,973443,993499,741615,70310,131,113111,442,243
-1-11-181-223-251-1,991-2,453-2,761-40,363-45,431-55,973-443,993-499,741-615,703-10,131,113-111,442,243

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