Q: What are the factor combinations of the number 120,123,253?
A:
Positive:
1 x 1201232532411 x 49823
Negative:
-1 x -120123253-2411 x -49823
A:
Positive:
1 x 1201232532411 x 49823
Negative:
-1 x -120123253-2411 x -49823
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 120,123,253, 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 | 120,123,253 | |
-1 | -120,123,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,123,253.
Example:
1 x 120,123,253 = 120,123,253
and
-1 x -120,123,253 = 120,123,253
Notice both answers equal 120,123,253
With that explanation out of the way, let's continue. Next, we take the number 120,123,253 and divide it by 2:
120,123,253 ÷ 2 = 60,061,626.5
If the quotient is a whole number, then 2 and 60,061,626.5 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 | 120,123,253 | |
-1 | -120,123,253 |
Now, we try dividing 120,123,253 by 3:
120,123,253 ÷ 3 = 40,041,084.3333
If the quotient is a whole number, then 3 and 40,041,084.3333 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 | 120,123,253 | |
-1 | -120,123,253 |
Let's try dividing by 4:
120,123,253 ÷ 4 = 30,030,813.25
If the quotient is a whole number, then 4 and 30,030,813.25 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 | 120,123,253 | |
-1 | 120,123,253 |
If you did it right, you will end up with this table:
1 | 2,411 | 49,823 | 120,123,253 |
-1 | -2,411 | -49,823 | -120,123,253 |
Here are some more numbers to try:
Try the factor calculator