A:
Positive:
1 x 2423200017 x 3461714311 x 2202909177 x 3147013131 x 1849771917 x 2642531441 x 16816110087 x 24023
Negative:
-1 x -242320001-7 x -34617143-11 x -22029091-77 x -3147013-131 x -1849771-917 x -264253-1441 x -168161-10087 x -24023
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 242,320,001, 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 | 242,320,001 | |
| -1 | -242,320,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,320,001.
Example:
1 x 242,320,001 = 242,320,001
and
-1 x -242,320,001 = 242,320,001
Notice both answers equal 242,320,001
With that explanation out of the way, let's continue. Next, we take the number 242,320,001 and divide it by 2:
242,320,001 ÷ 2 = 121,160,000.5
If the quotient is a whole number, then 2 and 121,160,000.5 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 | 242,320,001 | |
| -1 | -242,320,001 |
Now, we try dividing 242,320,001 by 3:
242,320,001 ÷ 3 = 80,773,333.6667
If the quotient is a whole number, then 3 and 80,773,333.6667 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 | 242,320,001 | |
| -1 | -242,320,001 |
Let's try dividing by 4:
242,320,001 ÷ 4 = 60,580,000.25
If the quotient is a whole number, then 4 and 60,580,000.25 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 | 242,320,001 | |
| -1 | 242,320,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 131 | 917 | 1,441 | 10,087 | 24,023 | 168,161 | 264,253 | 1,849,771 | 3,147,013 | 22,029,091 | 34,617,143 | 242,320,001 |
| -1 | -7 | -11 | -77 | -131 | -917 | -1,441 | -10,087 | -24,023 | -168,161 | -264,253 | -1,849,771 | -3,147,013 | -22,029,091 | -34,617,143 | -242,320,001 |
Here are some more numbers to try:
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