A:
Positive:
1 x 31216210311 x 2837837353 x 5889851277 x 1126939583 x 5354411933 x 1614913047 x 10244914681 x 21263
Negative:
-1 x -312162103-11 x -28378373-53 x -5889851-277 x -1126939-583 x -535441-1933 x -161491-3047 x -102449-14681 x -21263
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 312,162,103, 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 | 312,162,103 | |
| -1 | -312,162,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,162,103.
Example:
1 x 312,162,103 = 312,162,103
and
-1 x -312,162,103 = 312,162,103
Notice both answers equal 312,162,103
With that explanation out of the way, let's continue. Next, we take the number 312,162,103 and divide it by 2:
312,162,103 ÷ 2 = 156,081,051.5
If the quotient is a whole number, then 2 and 156,081,051.5 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 | 312,162,103 | |
| -1 | -312,162,103 |
Now, we try dividing 312,162,103 by 3:
312,162,103 ÷ 3 = 104,054,034.3333
If the quotient is a whole number, then 3 and 104,054,034.3333 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 | 312,162,103 | |
| -1 | -312,162,103 |
Let's try dividing by 4:
312,162,103 ÷ 4 = 78,040,525.75
If the quotient is a whole number, then 4 and 78,040,525.75 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 | 312,162,103 | |
| -1 | 312,162,103 |
If you did it right, you will end up with this table:
| 1 | 11 | 53 | 277 | 583 | 1,933 | 3,047 | 14,681 | 21,263 | 102,449 | 161,491 | 535,441 | 1,126,939 | 5,889,851 | 28,378,373 | 312,162,103 |
| -1 | -11 | -53 | -277 | -583 | -1,933 | -3,047 | -14,681 | -21,263 | -102,449 | -161,491 | -535,441 | -1,126,939 | -5,889,851 | -28,378,373 | -312,162,103 |
Here are some more numbers to try:
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