A:
Positive:
1 x 24107562713 x 1854427923 x 10481549109 x 2211703169 x 1426483299 x 806273569 x 4236831417 x 1701312507 x 961613887 x 620217397 x 3259113087 x 18421
Negative:
-1 x -241075627-13 x -18544279-23 x -10481549-109 x -2211703-169 x -1426483-299 x -806273-569 x -423683-1417 x -170131-2507 x -96161-3887 x -62021-7397 x -32591-13087 x -18421
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 241,075,627, 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 | 241,075,627 | |
| -1 | -241,075,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 241,075,627.
Example:
1 x 241,075,627 = 241,075,627
and
-1 x -241,075,627 = 241,075,627
Notice both answers equal 241,075,627
With that explanation out of the way, let's continue. Next, we take the number 241,075,627 and divide it by 2:
241,075,627 ÷ 2 = 120,537,813.5
If the quotient is a whole number, then 2 and 120,537,813.5 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 | 241,075,627 | |
| -1 | -241,075,627 |
Now, we try dividing 241,075,627 by 3:
241,075,627 ÷ 3 = 80,358,542.3333
If the quotient is a whole number, then 3 and 80,358,542.3333 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 | 241,075,627 | |
| -1 | -241,075,627 |
Let's try dividing by 4:
241,075,627 ÷ 4 = 60,268,906.75
If the quotient is a whole number, then 4 and 60,268,906.75 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 | 241,075,627 | |
| -1 | 241,075,627 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 109 | 169 | 299 | 569 | 1,417 | 2,507 | 3,887 | 7,397 | 13,087 | 18,421 | 32,591 | 62,021 | 96,161 | 170,131 | 423,683 | 806,273 | 1,426,483 | 2,211,703 | 10,481,549 | 18,544,279 | 241,075,627 |
| -1 | -13 | -23 | -109 | -169 | -299 | -569 | -1,417 | -2,507 | -3,887 | -7,397 | -13,087 | -18,421 | -32,591 | -62,021 | -96,161 | -170,131 | -423,683 | -806,273 | -1,426,483 | -2,211,703 | -10,481,549 | -18,544,279 | -241,075,627 |
Here are some more numbers to try:
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