Q: What are the factor combinations of the number 200,205,551?

 A:
Positive:   1 x 2002055517 x 2860079313 x 1540042791 x 2200061
Negative: -1 x -200205551-7 x -28600793-13 x -15400427-91 x -2200061


How do I find the factor combinations of the number 200,205,551?

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 200,205,551, 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.

1 200,205,551
-1 -200,205,551

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 200,205,551.

Example:
1 x 200,205,551 = 200,205,551
and
-1 x -200,205,551 = 200,205,551
Notice both answers equal 200,205,551

With that explanation out of the way, let's continue. Next, we take the number 200,205,551 and divide it by 2:

200,205,551 ÷ 2 = 100,102,775.5

If the quotient is a whole number, then 2 and 100,102,775.5 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:

1 200,205,551
-1 -200,205,551

Now, we try dividing 200,205,551 by 3:

200,205,551 ÷ 3 = 66,735,183.6667

If the quotient is a whole number, then 3 and 66,735,183.6667 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:

1 200,205,551
-1 -200,205,551

Let's try dividing by 4:

200,205,551 ÷ 4 = 50,051,387.75

If the quotient is a whole number, then 4 and 50,051,387.75 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:

1 200,205,551
-1 200,205,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912,200,06115,400,42728,600,793200,205,551
-1-7-13-91-2,200,061-15,400,427-28,600,793-200,205,551

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,205,551:


Ask a Question