A:
Positive:
1 x 3221032017 x 4601474323 x 14004487161 x 2000641263 x 12247271841 x 1749616049 x 532497607 x 42343
Negative:
-1 x -322103201-7 x -46014743-23 x -14004487-161 x -2000641-263 x -1224727-1841 x -174961-6049 x -53249-7607 x -42343
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 322,103,201, 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 | 322,103,201 | |
| -1 | -322,103,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 322,103,201.
Example:
1 x 322,103,201 = 322,103,201
and
-1 x -322,103,201 = 322,103,201
Notice both answers equal 322,103,201
With that explanation out of the way, let's continue. Next, we take the number 322,103,201 and divide it by 2:
322,103,201 ÷ 2 = 161,051,600.5
If the quotient is a whole number, then 2 and 161,051,600.5 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 | 322,103,201 | |
| -1 | -322,103,201 |
Now, we try dividing 322,103,201 by 3:
322,103,201 ÷ 3 = 107,367,733.6667
If the quotient is a whole number, then 3 and 107,367,733.6667 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 | 322,103,201 | |
| -1 | -322,103,201 |
Let's try dividing by 4:
322,103,201 ÷ 4 = 80,525,800.25
If the quotient is a whole number, then 4 and 80,525,800.25 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 | 322,103,201 | |
| -1 | 322,103,201 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 263 | 1,841 | 6,049 | 7,607 | 42,343 | 53,249 | 174,961 | 1,224,727 | 2,000,641 | 14,004,487 | 46,014,743 | 322,103,201 |
| -1 | -7 | -23 | -161 | -263 | -1,841 | -6,049 | -7,607 | -42,343 | -53,249 | -174,961 | -1,224,727 | -2,000,641 | -14,004,487 | -46,014,743 | -322,103,201 |
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