Q: What are the factor combinations of the number 200,545,135?

 A:
Positive:   1 x 2005451355 x 401090277 x 2864930535 x 5729861733 x 2735953665 x 547195131 x 390857817 x 25655
Negative: -1 x -200545135-5 x -40109027-7 x -28649305-35 x -5729861-733 x -273595-3665 x -54719-5131 x -39085-7817 x -25655


How do I find the factor combinations of the number 200,545,135?

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 200,545,135, 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.

1 200,545,135
-1 -200,545,135

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 200,545,135.

Example:
1 x 200,545,135 = 200,545,135
and
-1 x -200,545,135 = 200,545,135
Notice both answers equal 200,545,135

With that explanation out of the way, let's continue. Next, we take the number 200,545,135 and divide it by 2:

200,545,135 ÷ 2 = 100,272,567.5

If the quotient is a whole number, then 2 and 100,272,567.5 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:

1 200,545,135
-1 -200,545,135

Now, we try dividing 200,545,135 by 3:

200,545,135 ÷ 3 = 66,848,378.3333

If the quotient is a whole number, then 3 and 66,848,378.3333 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:

1 200,545,135
-1 -200,545,135

Let's try dividing by 4:

200,545,135 ÷ 4 = 50,136,283.75

If the quotient is a whole number, then 4 and 50,136,283.75 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:

1 200,545,135
-1 200,545,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157357333,6655,1317,81725,65539,08554,719273,5955,729,86128,649,30540,109,027200,545,135
-1-5-7-35-733-3,665-5,131-7,817-25,655-39,085-54,719-273,595-5,729,861-28,649,305-40,109,027-200,545,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,545,135:


Ask a Question