A:
Positive:
1 x 2413142155 x 4826284347 x 5134345235 x 1026869373 x 6469551865 x 1293912753 x 8765513765 x 17531
Negative:
-1 x -241314215-5 x -48262843-47 x -5134345-235 x -1026869-373 x -646955-1865 x -129391-2753 x -87655-13765 x -17531
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 241,314,215, 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 | 241,314,215 | |
| -1 | -241,314,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 241,314,215.
Example:
1 x 241,314,215 = 241,314,215
and
-1 x -241,314,215 = 241,314,215
Notice both answers equal 241,314,215
With that explanation out of the way, let's continue. Next, we take the number 241,314,215 and divide it by 2:
241,314,215 ÷ 2 = 120,657,107.5
If the quotient is a whole number, then 2 and 120,657,107.5 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 | 241,314,215 | |
| -1 | -241,314,215 |
Now, we try dividing 241,314,215 by 3:
241,314,215 ÷ 3 = 80,438,071.6667
If the quotient is a whole number, then 3 and 80,438,071.6667 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 | 241,314,215 | |
| -1 | -241,314,215 |
Let's try dividing by 4:
241,314,215 ÷ 4 = 60,328,553.75
If the quotient is a whole number, then 4 and 60,328,553.75 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 | 241,314,215 | |
| -1 | 241,314,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 373 | 1,865 | 2,753 | 13,765 | 17,531 | 87,655 | 129,391 | 646,955 | 1,026,869 | 5,134,345 | 48,262,843 | 241,314,215 |
| -1 | -5 | -47 | -235 | -373 | -1,865 | -2,753 | -13,765 | -17,531 | -87,655 | -129,391 | -646,955 | -1,026,869 | -5,134,345 | -48,262,843 | -241,314,215 |
Here are some more numbers to try:
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