A:
Positive:
1 x 2223310255 x 444662057 x 3176157525 x 889324135 x 635231553 x 4194925175 x 1270463265 x 838985371 x 5992751325 x 1677971855 x 1198559275 x 23971
Negative:
-1 x -222331025-5 x -44466205-7 x -31761575-25 x -8893241-35 x -6352315-53 x -4194925-175 x -1270463-265 x -838985-371 x -599275-1325 x -167797-1855 x -119855-9275 x -23971
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 222,331,025, 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 | 222,331,025 | |
| -1 | -222,331,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,331,025.
Example:
1 x 222,331,025 = 222,331,025
and
-1 x -222,331,025 = 222,331,025
Notice both answers equal 222,331,025
With that explanation out of the way, let's continue. Next, we take the number 222,331,025 and divide it by 2:
222,331,025 ÷ 2 = 111,165,512.5
If the quotient is a whole number, then 2 and 111,165,512.5 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 | 222,331,025 | |
| -1 | -222,331,025 |
Now, we try dividing 222,331,025 by 3:
222,331,025 ÷ 3 = 74,110,341.6667
If the quotient is a whole number, then 3 and 74,110,341.6667 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 | 222,331,025 | |
| -1 | -222,331,025 |
Let's try dividing by 4:
222,331,025 ÷ 4 = 55,582,756.25
If the quotient is a whole number, then 4 and 55,582,756.25 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 | 222,331,025 | |
| -1 | 222,331,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 53 | 175 | 265 | 371 | 1,325 | 1,855 | 9,275 | 23,971 | 119,855 | 167,797 | 599,275 | 838,985 | 1,270,463 | 4,194,925 | 6,352,315 | 8,893,241 | 31,761,575 | 44,466,205 | 222,331,025 |
| -1 | -5 | -7 | -25 | -35 | -53 | -175 | -265 | -371 | -1,325 | -1,855 | -9,275 | -23,971 | -119,855 | -167,797 | -599,275 | -838,985 | -1,270,463 | -4,194,925 | -6,352,315 | -8,893,241 | -31,761,575 | -44,466,205 | -222,331,025 |
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