Q: What are the factor combinations of the number 121,002,221?
A:
Positive:
1 x 1210022212777 x 43573
Negative:
-1 x -121002221-2777 x -43573
A:
Positive:
1 x 1210022212777 x 43573
Negative:
-1 x -121002221-2777 x -43573
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 121,002,221, 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 | 121,002,221 | |
-1 | -121,002,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,002,221.
Example:
1 x 121,002,221 = 121,002,221
and
-1 x -121,002,221 = 121,002,221
Notice both answers equal 121,002,221
With that explanation out of the way, let's continue. Next, we take the number 121,002,221 and divide it by 2:
121,002,221 ÷ 2 = 60,501,110.5
If the quotient is a whole number, then 2 and 60,501,110.5 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 | 121,002,221 | |
-1 | -121,002,221 |
Now, we try dividing 121,002,221 by 3:
121,002,221 ÷ 3 = 40,334,073.6667
If the quotient is a whole number, then 3 and 40,334,073.6667 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 | 121,002,221 | |
-1 | -121,002,221 |
Let's try dividing by 4:
121,002,221 ÷ 4 = 30,250,555.25
If the quotient is a whole number, then 4 and 30,250,555.25 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 | 121,002,221 | |
-1 | 121,002,221 |
If you did it right, you will end up with this table:
1 | 2,777 | 43,573 | 121,002,221 |
-1 | -2,777 | -43,573 | -121,002,221 |
Here are some more numbers to try:
Try the factor calculator