Q: What are the factor combinations of the number 201,807,787?

 A:
Positive:   1 x 201807787173 x 1166519521 x 3873472239 x 90133
Negative: -1 x -201807787-173 x -1166519-521 x -387347-2239 x -90133


How do I find the factor combinations of the number 201,807,787?

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 201,807,787, 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.

1 201,807,787
-1 -201,807,787

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 201,807,787.

Example:
1 x 201,807,787 = 201,807,787
and
-1 x -201,807,787 = 201,807,787
Notice both answers equal 201,807,787

With that explanation out of the way, let's continue. Next, we take the number 201,807,787 and divide it by 2:

201,807,787 ÷ 2 = 100,903,893.5

If the quotient is a whole number, then 2 and 100,903,893.5 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:

1 201,807,787
-1 -201,807,787

Now, we try dividing 201,807,787 by 3:

201,807,787 ÷ 3 = 67,269,262.3333

If the quotient is a whole number, then 3 and 67,269,262.3333 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:

1 201,807,787
-1 -201,807,787

Let's try dividing by 4:

201,807,787 ÷ 4 = 50,451,946.75

If the quotient is a whole number, then 4 and 50,451,946.75 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:

1 201,807,787
-1 201,807,787
Keep dividing by the next highest number until you cannot divide anymore.

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

11735212,23990,133387,3471,166,519201,807,787
-1-173-521-2,239-90,133-387,347-1,166,519-201,807,787

More Examples

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