A:
Positive:
1 x 3105981417 x 4437116323 x 13504267139 x 2234519161 x 1929181973 x 3192173197 x 9715313879 x 22379
Negative:
-1 x -310598141-7 x -44371163-23 x -13504267-139 x -2234519-161 x -1929181-973 x -319217-3197 x -97153-13879 x -22379
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 310,598,141, 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 | 310,598,141 | |
| -1 | -310,598,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,598,141.
Example:
1 x 310,598,141 = 310,598,141
and
-1 x -310,598,141 = 310,598,141
Notice both answers equal 310,598,141
With that explanation out of the way, let's continue. Next, we take the number 310,598,141 and divide it by 2:
310,598,141 ÷ 2 = 155,299,070.5
If the quotient is a whole number, then 2 and 155,299,070.5 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 | 310,598,141 | |
| -1 | -310,598,141 |
Now, we try dividing 310,598,141 by 3:
310,598,141 ÷ 3 = 103,532,713.6667
If the quotient is a whole number, then 3 and 103,532,713.6667 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 | 310,598,141 | |
| -1 | -310,598,141 |
Let's try dividing by 4:
310,598,141 ÷ 4 = 77,649,535.25
If the quotient is a whole number, then 4 and 77,649,535.25 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 | 310,598,141 | |
| -1 | 310,598,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 139 | 161 | 973 | 3,197 | 13,879 | 22,379 | 97,153 | 319,217 | 1,929,181 | 2,234,519 | 13,504,267 | 44,371,163 | 310,598,141 |
| -1 | -7 | -23 | -139 | -161 | -973 | -3,197 | -13,879 | -22,379 | -97,153 | -319,217 | -1,929,181 | -2,234,519 | -13,504,267 | -44,371,163 | -310,598,141 |
Here are some more numbers to try:
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