Q: What are the factor combinations of the number 197,015,399?

 A:
Positive:   1 x 1970153997 x 2814505747 x 4191817149 x 1322251329 x 5988311043 x 1888934019 x 490217003 x 28133
Negative: -1 x -197015399-7 x -28145057-47 x -4191817-149 x -1322251-329 x -598831-1043 x -188893-4019 x -49021-7003 x -28133


How do I find the factor combinations of the number 197,015,399?

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 197,015,399, 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.

1 197,015,399
-1 -197,015,399

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 197,015,399.

Example:
1 x 197,015,399 = 197,015,399
and
-1 x -197,015,399 = 197,015,399
Notice both answers equal 197,015,399

With that explanation out of the way, let's continue. Next, we take the number 197,015,399 and divide it by 2:

197,015,399 ÷ 2 = 98,507,699.5

If the quotient is a whole number, then 2 and 98,507,699.5 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:

1 197,015,399
-1 -197,015,399

Now, we try dividing 197,015,399 by 3:

197,015,399 ÷ 3 = 65,671,799.6667

If the quotient is a whole number, then 3 and 65,671,799.6667 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:

1 197,015,399
-1 -197,015,399

Let's try dividing by 4:

197,015,399 ÷ 4 = 49,253,849.75

If the quotient is a whole number, then 4 and 49,253,849.75 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:

1 197,015,399
-1 197,015,399
Keep dividing by the next highest number until you cannot divide anymore.

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

17471493291,0434,0197,00328,13349,021188,893598,8311,322,2514,191,81728,145,057197,015,399
-1-7-47-149-329-1,043-4,019-7,003-28,133-49,021-188,893-598,831-1,322,251-4,191,817-28,145,057-197,015,399

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