Q: What are the factor combinations of the number 200,060,413?

 A:
Positive:   1 x 2000604137 x 285800591471 x 13600310297 x 19429
Negative: -1 x -200060413-7 x -28580059-1471 x -136003-10297 x -19429


How do I find the factor combinations of the number 200,060,413?

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 200,060,413, 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.

1 200,060,413
-1 -200,060,413

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 200,060,413.

Example:
1 x 200,060,413 = 200,060,413
and
-1 x -200,060,413 = 200,060,413
Notice both answers equal 200,060,413

With that explanation out of the way, let's continue. Next, we take the number 200,060,413 and divide it by 2:

200,060,413 ÷ 2 = 100,030,206.5

If the quotient is a whole number, then 2 and 100,030,206.5 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:

1 200,060,413
-1 -200,060,413

Now, we try dividing 200,060,413 by 3:

200,060,413 ÷ 3 = 66,686,804.3333

If the quotient is a whole number, then 3 and 66,686,804.3333 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:

1 200,060,413
-1 -200,060,413

Let's try dividing by 4:

200,060,413 ÷ 4 = 50,015,103.25

If the quotient is a whole number, then 4 and 50,015,103.25 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:

1 200,060,413
-1 200,060,413
Keep dividing by the next highest number until you cannot divide anymore.

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

171,47110,29719,429136,00328,580,059200,060,413
-1-7-1,471-10,297-19,429-136,003-28,580,059-200,060,413

More Examples

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