A:
Positive:
1 x 3121241697 x 4458916749 x 6369881167 x 1869007343 x 9099831169 x 2670015449 x 572818183 x 38143
Negative:
-1 x -312124169-7 x -44589167-49 x -6369881-167 x -1869007-343 x -909983-1169 x -267001-5449 x -57281-8183 x -38143
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 312,124,169, 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 | 312,124,169 | |
| -1 | -312,124,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,124,169.
Example:
1 x 312,124,169 = 312,124,169
and
-1 x -312,124,169 = 312,124,169
Notice both answers equal 312,124,169
With that explanation out of the way, let's continue. Next, we take the number 312,124,169 and divide it by 2:
312,124,169 ÷ 2 = 156,062,084.5
If the quotient is a whole number, then 2 and 156,062,084.5 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 | 312,124,169 | |
| -1 | -312,124,169 |
Now, we try dividing 312,124,169 by 3:
312,124,169 ÷ 3 = 104,041,389.6667
If the quotient is a whole number, then 3 and 104,041,389.6667 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 | 312,124,169 | |
| -1 | -312,124,169 |
Let's try dividing by 4:
312,124,169 ÷ 4 = 78,031,042.25
If the quotient is a whole number, then 4 and 78,031,042.25 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 | 312,124,169 | |
| -1 | 312,124,169 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 167 | 343 | 1,169 | 5,449 | 8,183 | 38,143 | 57,281 | 267,001 | 909,983 | 1,869,007 | 6,369,881 | 44,589,167 | 312,124,169 |
| -1 | -7 | -49 | -167 | -343 | -1,169 | -5,449 | -8,183 | -38,143 | -57,281 | -267,001 | -909,983 | -1,869,007 | -6,369,881 | -44,589,167 | -312,124,169 |
Here are some more numbers to try:
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