Q: What are the factor combinations of the number 305,031,343?
A:
Positive:
1 x 305031343
Negative:
-1 x -305031343
A:
Positive:
1 x 305031343
Negative:
-1 x -305031343
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 305,031,343, 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 | 305,031,343 | |
-1 | -305,031,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,031,343.
Example:
1 x 305,031,343 = 305,031,343
and
-1 x -305,031,343 = 305,031,343
Notice both answers equal 305,031,343
With that explanation out of the way, let's continue. Next, we take the number 305,031,343 and divide it by 2:
305,031,343 ÷ 2 = 152,515,671.5
If the quotient is a whole number, then 2 and 152,515,671.5 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 | 305,031,343 | |
-1 | -305,031,343 |
Now, we try dividing 305,031,343 by 3:
305,031,343 ÷ 3 = 101,677,114.3333
If the quotient is a whole number, then 3 and 101,677,114.3333 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 | 305,031,343 | |
-1 | -305,031,343 |
Let's try dividing by 4:
305,031,343 ÷ 4 = 76,257,835.75
If the quotient is a whole number, then 4 and 76,257,835.75 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 | 305,031,343 | |
-1 | 305,031,343 |
If you did it right, you will end up with this table:
1 | 305,031,343 |
-1 | -305,031,343 |
Here are some more numbers to try:
Try the factor calculator