Q: What are the factor combinations of the number 303,133,343?
A:
Positive:
1 x 3031333431693 x 179051
Negative:
-1 x -303133343-1693 x -179051
A:
Positive:
1 x 3031333431693 x 179051
Negative:
-1 x -303133343-1693 x -179051
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 303,133,343, 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 | 303,133,343 | |
-1 | -303,133,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 303,133,343.
Example:
1 x 303,133,343 = 303,133,343
and
-1 x -303,133,343 = 303,133,343
Notice both answers equal 303,133,343
With that explanation out of the way, let's continue. Next, we take the number 303,133,343 and divide it by 2:
303,133,343 ÷ 2 = 151,566,671.5
If the quotient is a whole number, then 2 and 151,566,671.5 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 | 303,133,343 | |
-1 | -303,133,343 |
Now, we try dividing 303,133,343 by 3:
303,133,343 ÷ 3 = 101,044,447.6667
If the quotient is a whole number, then 3 and 101,044,447.6667 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 | 303,133,343 | |
-1 | -303,133,343 |
Let's try dividing by 4:
303,133,343 ÷ 4 = 75,783,335.75
If the quotient is a whole number, then 4 and 75,783,335.75 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 | 303,133,343 | |
-1 | 303,133,343 |
If you did it right, you will end up with this table:
1 | 1,693 | 179,051 | 303,133,343 |
-1 | -1,693 | -179,051 | -303,133,343 |
Here are some more numbers to try:
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