A:
Positive:
1 x 1222120255 x 2444240513 x 940092525 x 488848165 x 1880185325 x 376037523 x 233675719 x 1699752615 x 467353595 x 339956799 x 179759347 x 13075
Negative:
-1 x -122212025-5 x -24442405-13 x -9400925-25 x -4888481-65 x -1880185-325 x -376037-523 x -233675-719 x -169975-2615 x -46735-3595 x -33995-6799 x -17975-9347 x -13075
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 122,212,025, 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 | 122,212,025 | |
| -1 | -122,212,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,212,025.
Example:
1 x 122,212,025 = 122,212,025
and
-1 x -122,212,025 = 122,212,025
Notice both answers equal 122,212,025
With that explanation out of the way, let's continue. Next, we take the number 122,212,025 and divide it by 2:
122,212,025 ÷ 2 = 61,106,012.5
If the quotient is a whole number, then 2 and 61,106,012.5 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 | 122,212,025 | |
| -1 | -122,212,025 |
Now, we try dividing 122,212,025 by 3:
122,212,025 ÷ 3 = 40,737,341.6667
If the quotient is a whole number, then 3 and 40,737,341.6667 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 | 122,212,025 | |
| -1 | -122,212,025 |
Let's try dividing by 4:
122,212,025 ÷ 4 = 30,553,006.25
If the quotient is a whole number, then 4 and 30,553,006.25 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 | 122,212,025 | |
| -1 | 122,212,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 325 | 523 | 719 | 2,615 | 3,595 | 6,799 | 9,347 | 13,075 | 17,975 | 33,995 | 46,735 | 169,975 | 233,675 | 376,037 | 1,880,185 | 4,888,481 | 9,400,925 | 24,442,405 | 122,212,025 |
| -1 | -5 | -13 | -25 | -65 | -325 | -523 | -719 | -2,615 | -3,595 | -6,799 | -9,347 | -13,075 | -17,975 | -33,995 | -46,735 | -169,975 | -233,675 | -376,037 | -1,880,185 | -4,888,481 | -9,400,925 | -24,442,405 | -122,212,025 |
Here are some more numbers to try:
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