Q: What are the factor combinations of the number 200,033,119?

 A:
Positive:   1 x 20003311911 x 1818482913 x 1538716343 x 4651933143 x 1398833473 x 422903559 x 3578416149 x 32531
Negative: -1 x -200033119-11 x -18184829-13 x -15387163-43 x -4651933-143 x -1398833-473 x -422903-559 x -357841-6149 x -32531


How do I find the factor combinations of the number 200,033,119?

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 200,033,119, 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.

1 200,033,119
-1 -200,033,119

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 200,033,119.

Example:
1 x 200,033,119 = 200,033,119
and
-1 x -200,033,119 = 200,033,119
Notice both answers equal 200,033,119

With that explanation out of the way, let's continue. Next, we take the number 200,033,119 and divide it by 2:

200,033,119 ÷ 2 = 100,016,559.5

If the quotient is a whole number, then 2 and 100,016,559.5 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:

1 200,033,119
-1 -200,033,119

Now, we try dividing 200,033,119 by 3:

200,033,119 ÷ 3 = 66,677,706.3333

If the quotient is a whole number, then 3 and 66,677,706.3333 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:

1 200,033,119
-1 -200,033,119

Let's try dividing by 4:

200,033,119 ÷ 4 = 50,008,279.75

If the quotient is a whole number, then 4 and 50,008,279.75 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:

1 200,033,119
-1 200,033,119
Keep dividing by the next highest number until you cannot divide anymore.

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

11113431434735596,14932,531357,841422,9031,398,8334,651,93315,387,16318,184,829200,033,119
-1-11-13-43-143-473-559-6,149-32,531-357,841-422,903-1,398,833-4,651,933-15,387,163-18,184,829-200,033,119

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,033,119:


Ask a Question