A:
Positive:
1 x 1222212255 x 244442457 x 1746017525 x 488884929 x 421452535 x 3492035145 x 842905175 x 698407203 x 602075725 x 1685811015 x 1204155075 x 24083
Negative:
-1 x -122221225-5 x -24444245-7 x -17460175-25 x -4888849-29 x -4214525-35 x -3492035-145 x -842905-175 x -698407-203 x -602075-725 x -168581-1015 x -120415-5075 x -24083
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 122,221,225, 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 | 122,221,225 | |
| -1 | -122,221,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,221,225.
Example:
1 x 122,221,225 = 122,221,225
and
-1 x -122,221,225 = 122,221,225
Notice both answers equal 122,221,225
With that explanation out of the way, let's continue. Next, we take the number 122,221,225 and divide it by 2:
122,221,225 ÷ 2 = 61,110,612.5
If the quotient is a whole number, then 2 and 61,110,612.5 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 | 122,221,225 | |
| -1 | -122,221,225 |
Now, we try dividing 122,221,225 by 3:
122,221,225 ÷ 3 = 40,740,408.3333
If the quotient is a whole number, then 3 and 40,740,408.3333 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 | 122,221,225 | |
| -1 | -122,221,225 |
Let's try dividing by 4:
122,221,225 ÷ 4 = 30,555,306.25
If the quotient is a whole number, then 4 and 30,555,306.25 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 | 122,221,225 | |
| -1 | 122,221,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 29 | 35 | 145 | 175 | 203 | 725 | 1,015 | 5,075 | 24,083 | 120,415 | 168,581 | 602,075 | 698,407 | 842,905 | 3,492,035 | 4,214,525 | 4,888,849 | 17,460,175 | 24,444,245 | 122,221,225 |
| -1 | -5 | -7 | -25 | -29 | -35 | -145 | -175 | -203 | -725 | -1,015 | -5,075 | -24,083 | -120,415 | -168,581 | -602,075 | -698,407 | -842,905 | -3,492,035 | -4,214,525 | -4,888,849 | -17,460,175 | -24,444,245 | -122,221,225 |
Here are some more numbers to try:
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