A:
Positive:
1 x 3143101997 x 4490145767 x 4691197167 x 1882097469 x 6701711169 x 2688714013 x 7832311189 x 28091
Negative:
-1 x -314310199-7 x -44901457-67 x -4691197-167 x -1882097-469 x -670171-1169 x -268871-4013 x -78323-11189 x -28091
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 314,310,199, 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 | 314,310,199 | |
| -1 | -314,310,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,310,199.
Example:
1 x 314,310,199 = 314,310,199
and
-1 x -314,310,199 = 314,310,199
Notice both answers equal 314,310,199
With that explanation out of the way, let's continue. Next, we take the number 314,310,199 and divide it by 2:
314,310,199 ÷ 2 = 157,155,099.5
If the quotient is a whole number, then 2 and 157,155,099.5 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 | 314,310,199 | |
| -1 | -314,310,199 |
Now, we try dividing 314,310,199 by 3:
314,310,199 ÷ 3 = 104,770,066.3333
If the quotient is a whole number, then 3 and 104,770,066.3333 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 | 314,310,199 | |
| -1 | -314,310,199 |
Let's try dividing by 4:
314,310,199 ÷ 4 = 78,577,549.75
If the quotient is a whole number, then 4 and 78,577,549.75 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 | 314,310,199 | |
| -1 | 314,310,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 167 | 469 | 1,169 | 4,013 | 11,189 | 28,091 | 78,323 | 268,871 | 670,171 | 1,882,097 | 4,691,197 | 44,901,457 | 314,310,199 |
| -1 | -7 | -67 | -167 | -469 | -1,169 | -4,013 | -11,189 | -28,091 | -78,323 | -268,871 | -670,171 | -1,882,097 | -4,691,197 | -44,901,457 | -314,310,199 |
Here are some more numbers to try:
Try the factor calculator