Q: What are the factor combinations of the number 305,035,123?
A:
Positive:
1 x 30503512347 x 6490109
Negative:
-1 x -305035123-47 x -6490109
A:
Positive:
1 x 30503512347 x 6490109
Negative:
-1 x -305035123-47 x -6490109
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 305,035,123, 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 | 305,035,123 | |
-1 | -305,035,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,035,123.
Example:
1 x 305,035,123 = 305,035,123
and
-1 x -305,035,123 = 305,035,123
Notice both answers equal 305,035,123
With that explanation out of the way, let's continue. Next, we take the number 305,035,123 and divide it by 2:
305,035,123 ÷ 2 = 152,517,561.5
If the quotient is a whole number, then 2 and 152,517,561.5 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 | 305,035,123 | |
-1 | -305,035,123 |
Now, we try dividing 305,035,123 by 3:
305,035,123 ÷ 3 = 101,678,374.3333
If the quotient is a whole number, then 3 and 101,678,374.3333 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 | 305,035,123 | |
-1 | -305,035,123 |
Let's try dividing by 4:
305,035,123 ÷ 4 = 76,258,780.75
If the quotient is a whole number, then 4 and 76,258,780.75 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 | 305,035,123 | |
-1 | 305,035,123 |
If you did it right, you will end up with this table:
1 | 47 | 6,490,109 | 305,035,123 |
-1 | -47 | -6,490,109 | -305,035,123 |
Here are some more numbers to try:
Try the factor calculator