A:
Positive:
1 x 31422001729 x 1083517359 x 532576367 x 46898511711 x 1836471943 x 1617192741 x 1146373953 x 79489
Negative:
-1 x -314220017-29 x -10835173-59 x -5325763-67 x -4689851-1711 x -183647-1943 x -161719-2741 x -114637-3953 x -79489
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 314,220,017, 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 | 314,220,017 | |
| -1 | -314,220,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,220,017.
Example:
1 x 314,220,017 = 314,220,017
and
-1 x -314,220,017 = 314,220,017
Notice both answers equal 314,220,017
With that explanation out of the way, let's continue. Next, we take the number 314,220,017 and divide it by 2:
314,220,017 ÷ 2 = 157,110,008.5
If the quotient is a whole number, then 2 and 157,110,008.5 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 | 314,220,017 | |
| -1 | -314,220,017 |
Now, we try dividing 314,220,017 by 3:
314,220,017 ÷ 3 = 104,740,005.6667
If the quotient is a whole number, then 3 and 104,740,005.6667 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 | 314,220,017 | |
| -1 | -314,220,017 |
Let's try dividing by 4:
314,220,017 ÷ 4 = 78,555,004.25
If the quotient is a whole number, then 4 and 78,555,004.25 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 | 314,220,017 | |
| -1 | 314,220,017 |
If you did it right, you will end up with this table:
| 1 | 29 | 59 | 67 | 1,711 | 1,943 | 2,741 | 3,953 | 79,489 | 114,637 | 161,719 | 183,647 | 4,689,851 | 5,325,763 | 10,835,173 | 314,220,017 |
| -1 | -29 | -59 | -67 | -1,711 | -1,943 | -2,741 | -3,953 | -79,489 | -114,637 | -161,719 | -183,647 | -4,689,851 | -5,325,763 | -10,835,173 | -314,220,017 |
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