A:
Positive:
1 x 2223510055 x 4447020123 x 9667435115 x 1933487311 x 7149551555 x 1429916217 x 357657153 x 31085
Negative:
-1 x -222351005-5 x -44470201-23 x -9667435-115 x -1933487-311 x -714955-1555 x -142991-6217 x -35765-7153 x -31085
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 222,351,005, 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 | 222,351,005 | |
| -1 | -222,351,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,351,005.
Example:
1 x 222,351,005 = 222,351,005
and
-1 x -222,351,005 = 222,351,005
Notice both answers equal 222,351,005
With that explanation out of the way, let's continue. Next, we take the number 222,351,005 and divide it by 2:
222,351,005 ÷ 2 = 111,175,502.5
If the quotient is a whole number, then 2 and 111,175,502.5 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 | 222,351,005 | |
| -1 | -222,351,005 |
Now, we try dividing 222,351,005 by 3:
222,351,005 ÷ 3 = 74,117,001.6667
If the quotient is a whole number, then 3 and 74,117,001.6667 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 | 222,351,005 | |
| -1 | -222,351,005 |
Let's try dividing by 4:
222,351,005 ÷ 4 = 55,587,751.25
If the quotient is a whole number, then 4 and 55,587,751.25 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 | 222,351,005 | |
| -1 | 222,351,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 311 | 1,555 | 6,217 | 7,153 | 31,085 | 35,765 | 142,991 | 714,955 | 1,933,487 | 9,667,435 | 44,470,201 | 222,351,005 |
| -1 | -5 | -23 | -115 | -311 | -1,555 | -6,217 | -7,153 | -31,085 | -35,765 | -142,991 | -714,955 | -1,933,487 | -9,667,435 | -44,470,201 | -222,351,005 |
Here are some more numbers to try:
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