A:
Positive:
1 x 31263613711 x 2842146717 x 1839036167 x 4666211187 x 1671851737 x 4242011139 x 27448312529 x 24953
Negative:
-1 x -312636137-11 x -28421467-17 x -18390361-67 x -4666211-187 x -1671851-737 x -424201-1139 x -274483-12529 x -24953
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 312,636,137, 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 | 312,636,137 | |
| -1 | -312,636,137 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,636,137.
Example:
1 x 312,636,137 = 312,636,137
and
-1 x -312,636,137 = 312,636,137
Notice both answers equal 312,636,137
With that explanation out of the way, let's continue. Next, we take the number 312,636,137 and divide it by 2:
312,636,137 ÷ 2 = 156,318,068.5
If the quotient is a whole number, then 2 and 156,318,068.5 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 | 312,636,137 | |
| -1 | -312,636,137 |
Now, we try dividing 312,636,137 by 3:
312,636,137 ÷ 3 = 104,212,045.6667
If the quotient is a whole number, then 3 and 104,212,045.6667 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 | 312,636,137 | |
| -1 | -312,636,137 |
Let's try dividing by 4:
312,636,137 ÷ 4 = 78,159,034.25
If the quotient is a whole number, then 4 and 78,159,034.25 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 | 312,636,137 | |
| -1 | 312,636,137 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 67 | 187 | 737 | 1,139 | 12,529 | 24,953 | 274,483 | 424,201 | 1,671,851 | 4,666,211 | 18,390,361 | 28,421,467 | 312,636,137 |
| -1 | -11 | -17 | -67 | -187 | -737 | -1,139 | -12,529 | -24,953 | -274,483 | -424,201 | -1,671,851 | -4,666,211 | -18,390,361 | -28,421,467 | -312,636,137 |
Here are some more numbers to try:
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