A:
Positive:
1 x 1023021237 x 1461458911 x 930019377 x 1328599797 x 1283591667 x 613695579 x 183378767 x 11669
Negative:
-1 x -102302123-7 x -14614589-11 x -9300193-77 x -1328599-797 x -128359-1667 x -61369-5579 x -18337-8767 x -11669
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 102,302,123, 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 | 102,302,123 | |
| -1 | -102,302,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,302,123.
Example:
1 x 102,302,123 = 102,302,123
and
-1 x -102,302,123 = 102,302,123
Notice both answers equal 102,302,123
With that explanation out of the way, let's continue. Next, we take the number 102,302,123 and divide it by 2:
102,302,123 ÷ 2 = 51,151,061.5
If the quotient is a whole number, then 2 and 51,151,061.5 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 | 102,302,123 | |
| -1 | -102,302,123 |
Now, we try dividing 102,302,123 by 3:
102,302,123 ÷ 3 = 34,100,707.6667
If the quotient is a whole number, then 3 and 34,100,707.6667 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 | 102,302,123 | |
| -1 | -102,302,123 |
Let's try dividing by 4:
102,302,123 ÷ 4 = 25,575,530.75
If the quotient is a whole number, then 4 and 25,575,530.75 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 | 102,302,123 | |
| -1 | 102,302,123 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 797 | 1,667 | 5,579 | 8,767 | 11,669 | 18,337 | 61,369 | 128,359 | 1,328,599 | 9,300,193 | 14,614,589 | 102,302,123 |
| -1 | -7 | -11 | -77 | -797 | -1,667 | -5,579 | -8,767 | -11,669 | -18,337 | -61,369 | -128,359 | -1,328,599 | -9,300,193 | -14,614,589 | -102,302,123 |
Here are some more numbers to try:
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