A:
Positive:
1 x 30631147313 x 23562421109 x 2810197113 x 27107211417 x 2161691469 x 2085171913 x 16012112317 x 24869
Negative:
-1 x -306311473-13 x -23562421-109 x -2810197-113 x -2710721-1417 x -216169-1469 x -208517-1913 x -160121-12317 x -24869
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 306,311,473, 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 | 306,311,473 | |
| -1 | -306,311,473 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 306,311,473.
Example:
1 x 306,311,473 = 306,311,473
and
-1 x -306,311,473 = 306,311,473
Notice both answers equal 306,311,473
With that explanation out of the way, let's continue. Next, we take the number 306,311,473 and divide it by 2:
306,311,473 ÷ 2 = 153,155,736.5
If the quotient is a whole number, then 2 and 153,155,736.5 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 | 306,311,473 | |
| -1 | -306,311,473 |
Now, we try dividing 306,311,473 by 3:
306,311,473 ÷ 3 = 102,103,824.3333
If the quotient is a whole number, then 3 and 102,103,824.3333 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 | 306,311,473 | |
| -1 | -306,311,473 |
Let's try dividing by 4:
306,311,473 ÷ 4 = 76,577,868.25
If the quotient is a whole number, then 4 and 76,577,868.25 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 | 306,311,473 | |
| -1 | 306,311,473 |
If you did it right, you will end up with this table:
| 1 | 13 | 109 | 113 | 1,417 | 1,469 | 1,913 | 12,317 | 24,869 | 160,121 | 208,517 | 216,169 | 2,710,721 | 2,810,197 | 23,562,421 | 306,311,473 |
| -1 | -13 | -109 | -113 | -1,417 | -1,469 | -1,913 | -12,317 | -24,869 | -160,121 | -208,517 | -216,169 | -2,710,721 | -2,810,197 | -23,562,421 | -306,311,473 |
Here are some more numbers to try:
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