Q: What are the factor combinations of the number 200,567,731?

 A:
Positive:   1 x 2005677317 x 2865253313 x 1542828749 x 409321991 x 2204041461 x 435071637 x 314863683 x 2936573227 x 621534781 x 419515993 x 334678879 x 22589
Negative: -1 x -200567731-7 x -28652533-13 x -15428287-49 x -4093219-91 x -2204041-461 x -435071-637 x -314863-683 x -293657-3227 x -62153-4781 x -41951-5993 x -33467-8879 x -22589


How do I find the factor combinations of the number 200,567,731?

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 200,567,731, 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.

1 200,567,731
-1 -200,567,731

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 200,567,731.

Example:
1 x 200,567,731 = 200,567,731
and
-1 x -200,567,731 = 200,567,731
Notice both answers equal 200,567,731

With that explanation out of the way, let's continue. Next, we take the number 200,567,731 and divide it by 2:

200,567,731 ÷ 2 = 100,283,865.5

If the quotient is a whole number, then 2 and 100,283,865.5 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:

1 200,567,731
-1 -200,567,731

Now, we try dividing 200,567,731 by 3:

200,567,731 ÷ 3 = 66,855,910.3333

If the quotient is a whole number, then 3 and 66,855,910.3333 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:

1 200,567,731
-1 -200,567,731

Let's try dividing by 4:

200,567,731 ÷ 4 = 50,141,932.75

If the quotient is a whole number, then 4 and 50,141,932.75 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:

1 200,567,731
-1 200,567,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171349914616376833,2274,7815,9938,87922,58933,46741,95162,153293,657314,863435,0712,204,0414,093,21915,428,28728,652,533200,567,731
-1-7-13-49-91-461-637-683-3,227-4,781-5,993-8,879-22,589-33,467-41,951-62,153-293,657-314,863-435,071-2,204,041-4,093,219-15,428,287-28,652,533-200,567,731

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,567,731:


Ask a Question