A:
Positive:
1 x 2211023455 x 4422046943 x 514191567 x 3300035215 x 1028383335 x 6600072881 x 7674514405 x 15349
Negative:
-1 x -221102345-5 x -44220469-43 x -5141915-67 x -3300035-215 x -1028383-335 x -660007-2881 x -76745-14405 x -15349
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 221,102,345, 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 | 221,102,345 | |
| -1 | -221,102,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,102,345.
Example:
1 x 221,102,345 = 221,102,345
and
-1 x -221,102,345 = 221,102,345
Notice both answers equal 221,102,345
With that explanation out of the way, let's continue. Next, we take the number 221,102,345 and divide it by 2:
221,102,345 ÷ 2 = 110,551,172.5
If the quotient is a whole number, then 2 and 110,551,172.5 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 | 221,102,345 | |
| -1 | -221,102,345 |
Now, we try dividing 221,102,345 by 3:
221,102,345 ÷ 3 = 73,700,781.6667
If the quotient is a whole number, then 3 and 73,700,781.6667 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 | 221,102,345 | |
| -1 | -221,102,345 |
Let's try dividing by 4:
221,102,345 ÷ 4 = 55,275,586.25
If the quotient is a whole number, then 4 and 55,275,586.25 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 | 221,102,345 | |
| -1 | 221,102,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 67 | 215 | 335 | 2,881 | 14,405 | 15,349 | 76,745 | 660,007 | 1,028,383 | 3,300,035 | 5,141,915 | 44,220,469 | 221,102,345 |
| -1 | -5 | -43 | -67 | -215 | -335 | -2,881 | -14,405 | -15,349 | -76,745 | -660,007 | -1,028,383 | -3,300,035 | -5,141,915 | -44,220,469 | -221,102,345 |
Here are some more numbers to try:
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