A:
Positive:
1 x 31021210923 x 1348748341 x 7566149313 x 991093943 x 3289631051 x 2951597199 x 4309112833 x 24173
Negative:
-1 x -310212109-23 x -13487483-41 x -7566149-313 x -991093-943 x -328963-1051 x -295159-7199 x -43091-12833 x -24173
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 310,212,109, 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 | 310,212,109 | |
| -1 | -310,212,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,212,109.
Example:
1 x 310,212,109 = 310,212,109
and
-1 x -310,212,109 = 310,212,109
Notice both answers equal 310,212,109
With that explanation out of the way, let's continue. Next, we take the number 310,212,109 and divide it by 2:
310,212,109 ÷ 2 = 155,106,054.5
If the quotient is a whole number, then 2 and 155,106,054.5 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 | 310,212,109 | |
| -1 | -310,212,109 |
Now, we try dividing 310,212,109 by 3:
310,212,109 ÷ 3 = 103,404,036.3333
If the quotient is a whole number, then 3 and 103,404,036.3333 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 | 310,212,109 | |
| -1 | -310,212,109 |
Let's try dividing by 4:
310,212,109 ÷ 4 = 77,553,027.25
If the quotient is a whole number, then 4 and 77,553,027.25 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 | 310,212,109 | |
| -1 | 310,212,109 |
If you did it right, you will end up with this table:
| 1 | 23 | 41 | 313 | 943 | 1,051 | 7,199 | 12,833 | 24,173 | 43,091 | 295,159 | 328,963 | 991,093 | 7,566,149 | 13,487,483 | 310,212,109 |
| -1 | -23 | -41 | -313 | -943 | -1,051 | -7,199 | -12,833 | -24,173 | -43,091 | -295,159 | -328,963 | -991,093 | -7,566,149 | -13,487,483 | -310,212,109 |
Here are some more numbers to try:
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