Q: What are the factor combinations of the number 312,230,203?
A:
Positive:
1 x 3122302032423 x 128861
Negative:
-1 x -312230203-2423 x -128861
A:
Positive:
1 x 3122302032423 x 128861
Negative:
-1 x -312230203-2423 x -128861
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 312,230,203, 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 | 312,230,203 | |
-1 | -312,230,203 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,230,203.
Example:
1 x 312,230,203 = 312,230,203
and
-1 x -312,230,203 = 312,230,203
Notice both answers equal 312,230,203
With that explanation out of the way, let's continue. Next, we take the number 312,230,203 and divide it by 2:
312,230,203 ÷ 2 = 156,115,101.5
If the quotient is a whole number, then 2 and 156,115,101.5 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 | 312,230,203 | |
-1 | -312,230,203 |
Now, we try dividing 312,230,203 by 3:
312,230,203 ÷ 3 = 104,076,734.3333
If the quotient is a whole number, then 3 and 104,076,734.3333 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 | 312,230,203 | |
-1 | -312,230,203 |
Let's try dividing by 4:
312,230,203 ÷ 4 = 78,057,550.75
If the quotient is a whole number, then 4 and 78,057,550.75 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 | 312,230,203 | |
-1 | 312,230,203 |
If you did it right, you will end up with this table:
1 | 2,423 | 128,861 | 312,230,203 |
-1 | -2,423 | -128,861 | -312,230,203 |
Here are some more numbers to try:
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