Q: What are the factor combinations of the number 200,411,005?

 A:
Positive:   1 x 2004110055 x 40082201131 x 1529855655 x 305971
Negative: -1 x -200411005-5 x -40082201-131 x -1529855-655 x -305971


How do I find the factor combinations of the number 200,411,005?

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 200,411,005, 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.

1 200,411,005
-1 -200,411,005

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 200,411,005.

Example:
1 x 200,411,005 = 200,411,005
and
-1 x -200,411,005 = 200,411,005
Notice both answers equal 200,411,005

With that explanation out of the way, let's continue. Next, we take the number 200,411,005 and divide it by 2:

200,411,005 ÷ 2 = 100,205,502.5

If the quotient is a whole number, then 2 and 100,205,502.5 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:

1 200,411,005
-1 -200,411,005

Now, we try dividing 200,411,005 by 3:

200,411,005 ÷ 3 = 66,803,668.3333

If the quotient is a whole number, then 3 and 66,803,668.3333 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:

1 200,411,005
-1 -200,411,005

Let's try dividing by 4:

200,411,005 ÷ 4 = 50,102,751.25

If the quotient is a whole number, then 4 and 50,102,751.25 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:

1 200,411,005
-1 200,411,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15131655305,9711,529,85540,082,201200,411,005
-1-5-131-655-305,971-1,529,855-40,082,201-200,411,005

More Examples

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