A:
Positive:
1 x 3123011997 x 4461445723 x 13578313161 x 1939759269 x 11609711883 x 1658536187 x 504777211 x 43309
Negative:
-1 x -312301199-7 x -44614457-23 x -13578313-161 x -1939759-269 x -1160971-1883 x -165853-6187 x -50477-7211 x -43309
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 312,301,199, 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 | 312,301,199 | |
| -1 | -312,301,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,301,199.
Example:
1 x 312,301,199 = 312,301,199
and
-1 x -312,301,199 = 312,301,199
Notice both answers equal 312,301,199
With that explanation out of the way, let's continue. Next, we take the number 312,301,199 and divide it by 2:
312,301,199 ÷ 2 = 156,150,599.5
If the quotient is a whole number, then 2 and 156,150,599.5 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 | 312,301,199 | |
| -1 | -312,301,199 |
Now, we try dividing 312,301,199 by 3:
312,301,199 ÷ 3 = 104,100,399.6667
If the quotient is a whole number, then 3 and 104,100,399.6667 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 | 312,301,199 | |
| -1 | -312,301,199 |
Let's try dividing by 4:
312,301,199 ÷ 4 = 78,075,299.75
If the quotient is a whole number, then 4 and 78,075,299.75 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 | 312,301,199 | |
| -1 | 312,301,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 269 | 1,883 | 6,187 | 7,211 | 43,309 | 50,477 | 165,853 | 1,160,971 | 1,939,759 | 13,578,313 | 44,614,457 | 312,301,199 |
| -1 | -7 | -23 | -161 | -269 | -1,883 | -6,187 | -7,211 | -43,309 | -50,477 | -165,853 | -1,160,971 | -1,939,759 | -13,578,313 | -44,614,457 | -312,301,199 |
Here are some more numbers to try:
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