A:
Positive:
1 x 2425123255 x 4850246511 x 2204657525 x 970049355 x 4409315275 x 881863389 x 6234251945 x 1246852267 x 1069754279 x 566759725 x 2493711335 x 21395
Negative:
-1 x -242512325-5 x -48502465-11 x -22046575-25 x -9700493-55 x -4409315-275 x -881863-389 x -623425-1945 x -124685-2267 x -106975-4279 x -56675-9725 x -24937-11335 x -21395
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 242,512,325, 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 | 242,512,325 | |
| -1 | -242,512,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,512,325.
Example:
1 x 242,512,325 = 242,512,325
and
-1 x -242,512,325 = 242,512,325
Notice both answers equal 242,512,325
With that explanation out of the way, let's continue. Next, we take the number 242,512,325 and divide it by 2:
242,512,325 ÷ 2 = 121,256,162.5
If the quotient is a whole number, then 2 and 121,256,162.5 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 | 242,512,325 | |
| -1 | -242,512,325 |
Now, we try dividing 242,512,325 by 3:
242,512,325 ÷ 3 = 80,837,441.6667
If the quotient is a whole number, then 3 and 80,837,441.6667 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 | 242,512,325 | |
| -1 | -242,512,325 |
Let's try dividing by 4:
242,512,325 ÷ 4 = 60,628,081.25
If the quotient is a whole number, then 4 and 60,628,081.25 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 | 242,512,325 | |
| -1 | 242,512,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 275 | 389 | 1,945 | 2,267 | 4,279 | 9,725 | 11,335 | 21,395 | 24,937 | 56,675 | 106,975 | 124,685 | 623,425 | 881,863 | 4,409,315 | 9,700,493 | 22,046,575 | 48,502,465 | 242,512,325 |
| -1 | -5 | -11 | -25 | -55 | -275 | -389 | -1,945 | -2,267 | -4,279 | -9,725 | -11,335 | -21,395 | -24,937 | -56,675 | -106,975 | -124,685 | -623,425 | -881,863 | -4,409,315 | -9,700,493 | -22,046,575 | -48,502,465 | -242,512,325 |
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