Q: What are the factor combinations of the number 206,021,555?

 A:
Positive:   1 x 2060215555 x 4120431117 x 1211891585 x 2423783149 x 1382695745 x 2765392533 x 8133512665 x 16267
Negative: -1 x -206021555-5 x -41204311-17 x -12118915-85 x -2423783-149 x -1382695-745 x -276539-2533 x -81335-12665 x -16267


How do I find the factor combinations of the number 206,021,555?

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 206,021,555, 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.

1 206,021,555
-1 -206,021,555

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 206,021,555.

Example:
1 x 206,021,555 = 206,021,555
and
-1 x -206,021,555 = 206,021,555
Notice both answers equal 206,021,555

With that explanation out of the way, let's continue. Next, we take the number 206,021,555 and divide it by 2:

206,021,555 ÷ 2 = 103,010,777.5

If the quotient is a whole number, then 2 and 103,010,777.5 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:

1 206,021,555
-1 -206,021,555

Now, we try dividing 206,021,555 by 3:

206,021,555 ÷ 3 = 68,673,851.6667

If the quotient is a whole number, then 3 and 68,673,851.6667 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:

1 206,021,555
-1 -206,021,555

Let's try dividing by 4:

206,021,555 ÷ 4 = 51,505,388.75

If the quotient is a whole number, then 4 and 51,505,388.75 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:

1 206,021,555
-1 206,021,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851497452,53312,66516,26781,335276,5391,382,6952,423,78312,118,91541,204,311206,021,555
-1-5-17-85-149-745-2,533-12,665-16,267-81,335-276,539-1,382,695-2,423,783-12,118,915-41,204,311-206,021,555

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