A:
Positive:
1 x 2424013155 x 4848026313 x 1864625565 x 3729251277 x 8750951385 x 1750193601 x 6731513463 x 18005
Negative:
-1 x -242401315-5 x -48480263-13 x -18646255-65 x -3729251-277 x -875095-1385 x -175019-3601 x -67315-13463 x -18005
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 242,401,315, 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 | 242,401,315 | |
| -1 | -242,401,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,401,315.
Example:
1 x 242,401,315 = 242,401,315
and
-1 x -242,401,315 = 242,401,315
Notice both answers equal 242,401,315
With that explanation out of the way, let's continue. Next, we take the number 242,401,315 and divide it by 2:
242,401,315 ÷ 2 = 121,200,657.5
If the quotient is a whole number, then 2 and 121,200,657.5 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 | 242,401,315 | |
| -1 | -242,401,315 |
Now, we try dividing 242,401,315 by 3:
242,401,315 ÷ 3 = 80,800,438.3333
If the quotient is a whole number, then 3 and 80,800,438.3333 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 | 242,401,315 | |
| -1 | -242,401,315 |
Let's try dividing by 4:
242,401,315 ÷ 4 = 60,600,328.75
If the quotient is a whole number, then 4 and 60,600,328.75 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 | 242,401,315 | |
| -1 | 242,401,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 277 | 1,385 | 3,601 | 13,463 | 18,005 | 67,315 | 175,019 | 875,095 | 3,729,251 | 18,646,255 | 48,480,263 | 242,401,315 |
| -1 | -5 | -13 | -65 | -277 | -1,385 | -3,601 | -13,463 | -18,005 | -67,315 | -175,019 | -875,095 | -3,729,251 | -18,646,255 | -48,480,263 | -242,401,315 |
Here are some more numbers to try:
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