Q: What are the factor combinations of the number 201,223,223?
A:
Positive:
1 x 20122322311171 x 18013
Negative:
-1 x -201223223-11171 x -18013
A:
Positive:
1 x 20122322311171 x 18013
Negative:
-1 x -201223223-11171 x -18013
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 201,223,223, it is easier to work with a table - it's called factoring from the outside in.
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 | 201,223,223 | |
-1 | -201,223,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,223,223.
Example:
1 x 201,223,223 = 201,223,223
and
-1 x -201,223,223 = 201,223,223
Notice both answers equal 201,223,223
With that explanation out of the way, let's continue. Next, we take the number 201,223,223 and divide it by 2:
201,223,223 ÷ 2 = 100,611,611.5
If the quotient is a whole number, then 2 and 100,611,611.5 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 | 201,223,223 | |
-1 | -201,223,223 |
Now, we try dividing 201,223,223 by 3:
201,223,223 ÷ 3 = 67,074,407.6667
If the quotient is a whole number, then 3 and 67,074,407.6667 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 | 201,223,223 | |
-1 | -201,223,223 |
Let's try dividing by 4:
201,223,223 ÷ 4 = 50,305,805.75
If the quotient is a whole number, then 4 and 50,305,805.75 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 | 201,223,223 | |
-1 | 201,223,223 |
If you did it right, you will end up with this table:
1 | 11,171 | 18,013 | 201,223,223 |
-1 | -11,171 | -18,013 | -201,223,223 |
Here are some more numbers to try:
Try the factor calculator