A:
Positive:
1 x 230022177 x 328603119 x 121064331 x 74200749 x 469433133 x 172949217 x 106001589 x 39053797 x 28861931 x 247071519 x 151434123 x 5579
Negative:
-1 x -23002217-7 x -3286031-19 x -1210643-31 x -742007-49 x -469433-133 x -172949-217 x -106001-589 x -39053-797 x -28861-931 x -24707-1519 x -15143-4123 x -5579
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 23,002,217, 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 | 23,002,217 | |
| -1 | -23,002,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,002,217.
Example:
1 x 23,002,217 = 23,002,217
and
-1 x -23,002,217 = 23,002,217
Notice both answers equal 23,002,217
With that explanation out of the way, let's continue. Next, we take the number 23,002,217 and divide it by 2:
23,002,217 ÷ 2 = 11,501,108.5
If the quotient is a whole number, then 2 and 11,501,108.5 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 | 23,002,217 | |
| -1 | -23,002,217 |
Now, we try dividing 23,002,217 by 3:
23,002,217 ÷ 3 = 7,667,405.6667
If the quotient is a whole number, then 3 and 7,667,405.6667 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 | 23,002,217 | |
| -1 | -23,002,217 |
Let's try dividing by 4:
23,002,217 ÷ 4 = 5,750,554.25
If the quotient is a whole number, then 4 and 5,750,554.25 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 | 23,002,217 | |
| -1 | 23,002,217 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 31 | 49 | 133 | 217 | 589 | 797 | 931 | 1,519 | 4,123 | 5,579 | 15,143 | 24,707 | 28,861 | 39,053 | 106,001 | 172,949 | 469,433 | 742,007 | 1,210,643 | 3,286,031 | 23,002,217 |
| -1 | -7 | -19 | -31 | -49 | -133 | -217 | -589 | -797 | -931 | -1,519 | -4,123 | -5,579 | -15,143 | -24,707 | -28,861 | -39,053 | -106,001 | -172,949 | -469,433 | -742,007 | -1,210,643 | -3,286,031 | -23,002,217 |
Here are some more numbers to try:
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