Q: What are the factor combinations of the number 200,010,235?

 A:
Positive:   1 x 2000102355 x 400020471777 x 1125558885 x 22511
Negative: -1 x -200010235-5 x -40002047-1777 x -112555-8885 x -22511


How do I find the factor combinations of the number 200,010,235?

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 200,010,235, 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.

1 200,010,235
-1 -200,010,235

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 200,010,235.

Example:
1 x 200,010,235 = 200,010,235
and
-1 x -200,010,235 = 200,010,235
Notice both answers equal 200,010,235

With that explanation out of the way, let's continue. Next, we take the number 200,010,235 and divide it by 2:

200,010,235 ÷ 2 = 100,005,117.5

If the quotient is a whole number, then 2 and 100,005,117.5 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:

1 200,010,235
-1 -200,010,235

Now, we try dividing 200,010,235 by 3:

200,010,235 ÷ 3 = 66,670,078.3333

If the quotient is a whole number, then 3 and 66,670,078.3333 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:

1 200,010,235
-1 -200,010,235

Let's try dividing by 4:

200,010,235 ÷ 4 = 50,002,558.75

If the quotient is a whole number, then 4 and 50,002,558.75 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:

1 200,010,235
-1 200,010,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151,7778,88522,511112,55540,002,047200,010,235
-1-5-1,777-8,885-22,511-112,555-40,002,047-200,010,235

More Examples

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