A:
Positive:
1 x 2283156055 x 456631217 x 3261651535 x 65233031949 x 1171453347 x 682159745 x 2342913643 x 16735
Negative:
-1 x -228315605-5 x -45663121-7 x -32616515-35 x -6523303-1949 x -117145-3347 x -68215-9745 x -23429-13643 x -16735
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 228,315,605, 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 | 228,315,605 | |
| -1 | -228,315,605 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 228,315,605.
Example:
1 x 228,315,605 = 228,315,605
and
-1 x -228,315,605 = 228,315,605
Notice both answers equal 228,315,605
With that explanation out of the way, let's continue. Next, we take the number 228,315,605 and divide it by 2:
228,315,605 ÷ 2 = 114,157,802.5
If the quotient is a whole number, then 2 and 114,157,802.5 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 | 228,315,605 | |
| -1 | -228,315,605 |
Now, we try dividing 228,315,605 by 3:
228,315,605 ÷ 3 = 76,105,201.6667
If the quotient is a whole number, then 3 and 76,105,201.6667 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 | 228,315,605 | |
| -1 | -228,315,605 |
Let's try dividing by 4:
228,315,605 ÷ 4 = 57,078,901.25
If the quotient is a whole number, then 4 and 57,078,901.25 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 | 228,315,605 | |
| -1 | 228,315,605 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,949 | 3,347 | 9,745 | 13,643 | 16,735 | 23,429 | 68,215 | 117,145 | 6,523,303 | 32,616,515 | 45,663,121 | 228,315,605 |
| -1 | -5 | -7 | -35 | -1,949 | -3,347 | -9,745 | -13,643 | -16,735 | -23,429 | -68,215 | -117,145 | -6,523,303 | -32,616,515 | -45,663,121 | -228,315,605 |
Here are some more numbers to try:
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