Q: What are the factor combinations of the number 199,018,483?

 A:
Positive:   1 x 19901848319 x 104746571973 x 1008715309 x 37487
Negative: -1 x -199018483-19 x -10474657-1973 x -100871-5309 x -37487


How do I find the factor combinations of the number 199,018,483?

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 199,018,483, 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.

1 199,018,483
-1 -199,018,483

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 199,018,483.

Example:
1 x 199,018,483 = 199,018,483
and
-1 x -199,018,483 = 199,018,483
Notice both answers equal 199,018,483

With that explanation out of the way, let's continue. Next, we take the number 199,018,483 and divide it by 2:

199,018,483 ÷ 2 = 99,509,241.5

If the quotient is a whole number, then 2 and 99,509,241.5 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:

1 199,018,483
-1 -199,018,483

Now, we try dividing 199,018,483 by 3:

199,018,483 ÷ 3 = 66,339,494.3333

If the quotient is a whole number, then 3 and 66,339,494.3333 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:

1 199,018,483
-1 -199,018,483

Let's try dividing by 4:

199,018,483 ÷ 4 = 49,754,620.75

If the quotient is a whole number, then 4 and 49,754,620.75 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:

1 199,018,483
-1 199,018,483
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,9735,30937,487100,87110,474,657199,018,483
-1-19-1,973-5,309-37,487-100,871-10,474,657-199,018,483

More Examples

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