A:
Positive:
1 x 31012309911 x 2819300913 x 2385562323 x 13483613143 x 2168693253 x 1225783299 x 10372013289 x 94291
Negative:
-1 x -310123099-11 x -28193009-13 x -23855623-23 x -13483613-143 x -2168693-253 x -1225783-299 x -1037201-3289 x -94291
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 310,123,099, 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 | 310,123,099 | |
| -1 | -310,123,099 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,123,099.
Example:
1 x 310,123,099 = 310,123,099
and
-1 x -310,123,099 = 310,123,099
Notice both answers equal 310,123,099
With that explanation out of the way, let's continue. Next, we take the number 310,123,099 and divide it by 2:
310,123,099 ÷ 2 = 155,061,549.5
If the quotient is a whole number, then 2 and 155,061,549.5 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 | 310,123,099 | |
| -1 | -310,123,099 |
Now, we try dividing 310,123,099 by 3:
310,123,099 ÷ 3 = 103,374,366.3333
If the quotient is a whole number, then 3 and 103,374,366.3333 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 | 310,123,099 | |
| -1 | -310,123,099 |
Let's try dividing by 4:
310,123,099 ÷ 4 = 77,530,774.75
If the quotient is a whole number, then 4 and 77,530,774.75 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 | 310,123,099 | |
| -1 | 310,123,099 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 23 | 143 | 253 | 299 | 3,289 | 94,291 | 1,037,201 | 1,225,783 | 2,168,693 | 13,483,613 | 23,855,623 | 28,193,009 | 310,123,099 |
| -1 | -11 | -13 | -23 | -143 | -253 | -299 | -3,289 | -94,291 | -1,037,201 | -1,225,783 | -2,168,693 | -13,483,613 | -23,855,623 | -28,193,009 | -310,123,099 |
Here are some more numbers to try:
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