Q: What are the factor combinations of the number 304,355,243?
A:
Positive:
1 x 30435524319 x 16018697
Negative:
-1 x -304355243-19 x -16018697
A:
Positive:
1 x 30435524319 x 16018697
Negative:
-1 x -304355243-19 x -16018697
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 304,355,243, 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 | 304,355,243 | |
-1 | -304,355,243 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 304,355,243.
Example:
1 x 304,355,243 = 304,355,243
and
-1 x -304,355,243 = 304,355,243
Notice both answers equal 304,355,243
With that explanation out of the way, let's continue. Next, we take the number 304,355,243 and divide it by 2:
304,355,243 ÷ 2 = 152,177,621.5
If the quotient is a whole number, then 2 and 152,177,621.5 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 | 304,355,243 | |
-1 | -304,355,243 |
Now, we try dividing 304,355,243 by 3:
304,355,243 ÷ 3 = 101,451,747.6667
If the quotient is a whole number, then 3 and 101,451,747.6667 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 | 304,355,243 | |
-1 | -304,355,243 |
Let's try dividing by 4:
304,355,243 ÷ 4 = 76,088,810.75
If the quotient is a whole number, then 4 and 76,088,810.75 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 | 304,355,243 | |
-1 | 304,355,243 |
If you did it right, you will end up with this table:
1 | 19 | 16,018,697 | 304,355,243 |
-1 | -19 | -16,018,697 | -304,355,243 |
Here are some more numbers to try:
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