A:
Positive:
1 x 3140252155 x 628050437 x 4486074535 x 8972149479 x 6555852395 x 1311173353 x 9365516765 x 18731
Negative:
-1 x -314025215-5 x -62805043-7 x -44860745-35 x -8972149-479 x -655585-2395 x -131117-3353 x -93655-16765 x -18731
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 314,025,215, 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 | 314,025,215 | |
| -1 | -314,025,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,025,215.
Example:
1 x 314,025,215 = 314,025,215
and
-1 x -314,025,215 = 314,025,215
Notice both answers equal 314,025,215
With that explanation out of the way, let's continue. Next, we take the number 314,025,215 and divide it by 2:
314,025,215 ÷ 2 = 157,012,607.5
If the quotient is a whole number, then 2 and 157,012,607.5 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 | 314,025,215 | |
| -1 | -314,025,215 |
Now, we try dividing 314,025,215 by 3:
314,025,215 ÷ 3 = 104,675,071.6667
If the quotient is a whole number, then 3 and 104,675,071.6667 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 | 314,025,215 | |
| -1 | -314,025,215 |
Let's try dividing by 4:
314,025,215 ÷ 4 = 78,506,303.75
If the quotient is a whole number, then 4 and 78,506,303.75 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 | 314,025,215 | |
| -1 | 314,025,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 479 | 2,395 | 3,353 | 16,765 | 18,731 | 93,655 | 131,117 | 655,585 | 8,972,149 | 44,860,745 | 62,805,043 | 314,025,215 |
| -1 | -5 | -7 | -35 | -479 | -2,395 | -3,353 | -16,765 | -18,731 | -93,655 | -131,117 | -655,585 | -8,972,149 | -44,860,745 | -62,805,043 | -314,025,215 |
Here are some more numbers to try:
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