Q: What are the factor combinations of the number 305,446,723?
A:
Positive:
1 x 30544672383 x 3680081
Negative:
-1 x -305446723-83 x -3680081
A:
Positive:
1 x 30544672383 x 3680081
Negative:
-1 x -305446723-83 x -3680081
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 305,446,723, 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 | 305,446,723 | |
-1 | -305,446,723 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,446,723.
Example:
1 x 305,446,723 = 305,446,723
and
-1 x -305,446,723 = 305,446,723
Notice both answers equal 305,446,723
With that explanation out of the way, let's continue. Next, we take the number 305,446,723 and divide it by 2:
305,446,723 ÷ 2 = 152,723,361.5
If the quotient is a whole number, then 2 and 152,723,361.5 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 | 305,446,723 | |
-1 | -305,446,723 |
Now, we try dividing 305,446,723 by 3:
305,446,723 ÷ 3 = 101,815,574.3333
If the quotient is a whole number, then 3 and 101,815,574.3333 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 | 305,446,723 | |
-1 | -305,446,723 |
Let's try dividing by 4:
305,446,723 ÷ 4 = 76,361,680.75
If the quotient is a whole number, then 4 and 76,361,680.75 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 | 305,446,723 | |
-1 | 305,446,723 |
If you did it right, you will end up with this table:
1 | 83 | 3,680,081 | 305,446,723 |
-1 | -83 | -3,680,081 | -305,446,723 |
Here are some more numbers to try:
Try the factor calculator