Q: What are the factor combinations of the number 200,022,227?

 A:
Positive:   1 x 2000222271303 x 153509
Negative: -1 x -200022227-1303 x -153509


How do I find the factor combinations of the number 200,022,227?

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 200,022,227, 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.

1 200,022,227
-1 -200,022,227

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 200,022,227.

Example:
1 x 200,022,227 = 200,022,227
and
-1 x -200,022,227 = 200,022,227
Notice both answers equal 200,022,227

With that explanation out of the way, let's continue. Next, we take the number 200,022,227 and divide it by 2:

200,022,227 ÷ 2 = 100,011,113.5

If the quotient is a whole number, then 2 and 100,011,113.5 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:

1 200,022,227
-1 -200,022,227

Now, we try dividing 200,022,227 by 3:

200,022,227 ÷ 3 = 66,674,075.6667

If the quotient is a whole number, then 3 and 66,674,075.6667 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:

1 200,022,227
-1 -200,022,227

Let's try dividing by 4:

200,022,227 ÷ 4 = 50,005,556.75

If the quotient is a whole number, then 4 and 50,005,556.75 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:

1 200,022,227
-1 200,022,227
Keep dividing by the next highest number until you cannot divide anymore.

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

11,303153,509200,022,227
-1-1,303-153,509-200,022,227

More Examples

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