A:
Positive:
1 x 24231346113 x 1863949717 x 1425373379 x 3067259221 x 10964411027 x 2359431343 x 18042713879 x 17459
Negative:
-1 x -242313461-13 x -18639497-17 x -14253733-79 x -3067259-221 x -1096441-1027 x -235943-1343 x -180427-13879 x -17459
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 242,313,461, 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 | 242,313,461 | |
| -1 | -242,313,461 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,313,461.
Example:
1 x 242,313,461 = 242,313,461
and
-1 x -242,313,461 = 242,313,461
Notice both answers equal 242,313,461
With that explanation out of the way, let's continue. Next, we take the number 242,313,461 and divide it by 2:
242,313,461 ÷ 2 = 121,156,730.5
If the quotient is a whole number, then 2 and 121,156,730.5 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 | 242,313,461 | |
| -1 | -242,313,461 |
Now, we try dividing 242,313,461 by 3:
242,313,461 ÷ 3 = 80,771,153.6667
If the quotient is a whole number, then 3 and 80,771,153.6667 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 | 242,313,461 | |
| -1 | -242,313,461 |
Let's try dividing by 4:
242,313,461 ÷ 4 = 60,578,365.25
If the quotient is a whole number, then 4 and 60,578,365.25 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 | 242,313,461 | |
| -1 | 242,313,461 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 79 | 221 | 1,027 | 1,343 | 13,879 | 17,459 | 180,427 | 235,943 | 1,096,441 | 3,067,259 | 14,253,733 | 18,639,497 | 242,313,461 |
| -1 | -13 | -17 | -79 | -221 | -1,027 | -1,343 | -13,879 | -17,459 | -180,427 | -235,943 | -1,096,441 | -3,067,259 | -14,253,733 | -18,639,497 | -242,313,461 |
Here are some more numbers to try:
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