A:
Positive:
1 x 24112656113 x 1854819729 x 8314709277 x 870493377 x 6395932309 x 1044293601 x 669618033 x 30017
Negative:
-1 x -241126561-13 x -18548197-29 x -8314709-277 x -870493-377 x -639593-2309 x -104429-3601 x -66961-8033 x -30017
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 241,126,561, 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 | 241,126,561 | |
| -1 | -241,126,561 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 241,126,561.
Example:
1 x 241,126,561 = 241,126,561
and
-1 x -241,126,561 = 241,126,561
Notice both answers equal 241,126,561
With that explanation out of the way, let's continue. Next, we take the number 241,126,561 and divide it by 2:
241,126,561 ÷ 2 = 120,563,280.5
If the quotient is a whole number, then 2 and 120,563,280.5 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 | 241,126,561 | |
| -1 | -241,126,561 |
Now, we try dividing 241,126,561 by 3:
241,126,561 ÷ 3 = 80,375,520.3333
If the quotient is a whole number, then 3 and 80,375,520.3333 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 | 241,126,561 | |
| -1 | -241,126,561 |
Let's try dividing by 4:
241,126,561 ÷ 4 = 60,281,640.25
If the quotient is a whole number, then 4 and 60,281,640.25 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 | 241,126,561 | |
| -1 | 241,126,561 |
If you did it right, you will end up with this table:
| 1 | 13 | 29 | 277 | 377 | 2,309 | 3,601 | 8,033 | 30,017 | 66,961 | 104,429 | 639,593 | 870,493 | 8,314,709 | 18,548,197 | 241,126,561 |
| -1 | -13 | -29 | -277 | -377 | -2,309 | -3,601 | -8,033 | -30,017 | -66,961 | -104,429 | -639,593 | -870,493 | -8,314,709 | -18,548,197 | -241,126,561 |
Here are some more numbers to try:
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