A:
Positive:
1 x 301440237 x 430628913 x 231877183 x 36318191 x 331253169 x 178367307 x 98189581 x 518831079 x 279371183 x 254812149 x 140273991 x 7553
Negative:
-1 x -30144023-7 x -4306289-13 x -2318771-83 x -363181-91 x -331253-169 x -178367-307 x -98189-581 x -51883-1079 x -27937-1183 x -25481-2149 x -14027-3991 x -7553
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 30,144,023, 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 | 30,144,023 | |
| -1 | -30,144,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,144,023.
Example:
1 x 30,144,023 = 30,144,023
and
-1 x -30,144,023 = 30,144,023
Notice both answers equal 30,144,023
With that explanation out of the way, let's continue. Next, we take the number 30,144,023 and divide it by 2:
30,144,023 ÷ 2 = 15,072,011.5
If the quotient is a whole number, then 2 and 15,072,011.5 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 | 30,144,023 | |
| -1 | -30,144,023 |
Now, we try dividing 30,144,023 by 3:
30,144,023 ÷ 3 = 10,048,007.6667
If the quotient is a whole number, then 3 and 10,048,007.6667 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 | 30,144,023 | |
| -1 | -30,144,023 |
Let's try dividing by 4:
30,144,023 ÷ 4 = 7,536,005.75
If the quotient is a whole number, then 4 and 7,536,005.75 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 | 30,144,023 | |
| -1 | 30,144,023 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 83 | 91 | 169 | 307 | 581 | 1,079 | 1,183 | 2,149 | 3,991 | 7,553 | 14,027 | 25,481 | 27,937 | 51,883 | 98,189 | 178,367 | 331,253 | 363,181 | 2,318,771 | 4,306,289 | 30,144,023 |
| -1 | -7 | -13 | -83 | -91 | -169 | -307 | -581 | -1,079 | -1,183 | -2,149 | -3,991 | -7,553 | -14,027 | -25,481 | -27,937 | -51,883 | -98,189 | -178,367 | -331,253 | -363,181 | -2,318,771 | -4,306,289 | -30,144,023 |
Here are some more numbers to try:
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