Q: What are the factor combinations of the number 122,022,205?
A:
Positive:
1 x 1220222055 x 24404441
Negative:
-1 x -122022205-5 x -24404441
A:
Positive:
1 x 1220222055 x 24404441
Negative:
-1 x -122022205-5 x -24404441
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 122,022,205, 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 | 122,022,205 | |
-1 | -122,022,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,022,205.
Example:
1 x 122,022,205 = 122,022,205
and
-1 x -122,022,205 = 122,022,205
Notice both answers equal 122,022,205
With that explanation out of the way, let's continue. Next, we take the number 122,022,205 and divide it by 2:
122,022,205 ÷ 2 = 61,011,102.5
If the quotient is a whole number, then 2 and 61,011,102.5 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 | 122,022,205 | |
-1 | -122,022,205 |
Now, we try dividing 122,022,205 by 3:
122,022,205 ÷ 3 = 40,674,068.3333
If the quotient is a whole number, then 3 and 40,674,068.3333 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 | 122,022,205 | |
-1 | -122,022,205 |
Let's try dividing by 4:
122,022,205 ÷ 4 = 30,505,551.25
If the quotient is a whole number, then 4 and 30,505,551.25 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 | 122,022,205 | |
-1 | 122,022,205 |
If you did it right, you will end up with this table:
1 | 5 | 24,404,441 | 122,022,205 |
-1 | -5 | -24,404,441 | -122,022,205 |
Here are some more numbers to try:
Try the factor calculator