A:
Positive:
1 x 3120301037 x 4457572911 x 2836637319 x 1642263777 x 4052339133 x 2346091209 x 14929671463 x 213281
Negative:
-1 x -312030103-7 x -44575729-11 x -28366373-19 x -16422637-77 x -4052339-133 x -2346091-209 x -1492967-1463 x -213281
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 312,030,103, 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 | 312,030,103 | |
| -1 | -312,030,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,030,103.
Example:
1 x 312,030,103 = 312,030,103
and
-1 x -312,030,103 = 312,030,103
Notice both answers equal 312,030,103
With that explanation out of the way, let's continue. Next, we take the number 312,030,103 and divide it by 2:
312,030,103 ÷ 2 = 156,015,051.5
If the quotient is a whole number, then 2 and 156,015,051.5 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 | 312,030,103 | |
| -1 | -312,030,103 |
Now, we try dividing 312,030,103 by 3:
312,030,103 ÷ 3 = 104,010,034.3333
If the quotient is a whole number, then 3 and 104,010,034.3333 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 | 312,030,103 | |
| -1 | -312,030,103 |
Let's try dividing by 4:
312,030,103 ÷ 4 = 78,007,525.75
If the quotient is a whole number, then 4 and 78,007,525.75 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 | 312,030,103 | |
| -1 | 312,030,103 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 19 | 77 | 133 | 209 | 1,463 | 213,281 | 1,492,967 | 2,346,091 | 4,052,339 | 16,422,637 | 28,366,373 | 44,575,729 | 312,030,103 |
| -1 | -7 | -11 | -19 | -77 | -133 | -209 | -1,463 | -213,281 | -1,492,967 | -2,346,091 | -4,052,339 | -16,422,637 | -28,366,373 | -44,575,729 | -312,030,103 |
Here are some more numbers to try:
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