Q: What are the factor combinations of the number 200,866,849?

 A:
Positive:   1 x 20086684917 x 11815697289 x 695041347 x 5788672003 x 1002835899 x 34051
Negative: -1 x -200866849-17 x -11815697-289 x -695041-347 x -578867-2003 x -100283-5899 x -34051


How do I find the factor combinations of the number 200,866,849?

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 200,866,849, 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.

1 200,866,849
-1 -200,866,849

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 200,866,849.

Example:
1 x 200,866,849 = 200,866,849
and
-1 x -200,866,849 = 200,866,849
Notice both answers equal 200,866,849

With that explanation out of the way, let's continue. Next, we take the number 200,866,849 and divide it by 2:

200,866,849 ÷ 2 = 100,433,424.5

If the quotient is a whole number, then 2 and 100,433,424.5 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:

1 200,866,849
-1 -200,866,849

Now, we try dividing 200,866,849 by 3:

200,866,849 ÷ 3 = 66,955,616.3333

If the quotient is a whole number, then 3 and 66,955,616.3333 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:

1 200,866,849
-1 -200,866,849

Let's try dividing by 4:

200,866,849 ÷ 4 = 50,216,712.25

If the quotient is a whole number, then 4 and 50,216,712.25 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:

1 200,866,849
-1 200,866,849
Keep dividing by the next highest number until you cannot divide anymore.

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

1172893472,0035,89934,051100,283578,867695,04111,815,697200,866,849
-1-17-289-347-2,003-5,899-34,051-100,283-578,867-695,041-11,815,697-200,866,849

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,866,849:


Ask a Question