A:
Positive:
1 x 2510151055 x 5020302111 x 2281955555 x 4563911121 x 2074505271 x 926255605 x 4149011355 x 1852511531 x 1639552981 x 842057655 x 3279114905 x 16841
Negative:
-1 x -251015105-5 x -50203021-11 x -22819555-55 x -4563911-121 x -2074505-271 x -926255-605 x -414901-1355 x -185251-1531 x -163955-2981 x -84205-7655 x -32791-14905 x -16841
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 251,015,105, 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 | 251,015,105 | |
| -1 | -251,015,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,015,105.
Example:
1 x 251,015,105 = 251,015,105
and
-1 x -251,015,105 = 251,015,105
Notice both answers equal 251,015,105
With that explanation out of the way, let's continue. Next, we take the number 251,015,105 and divide it by 2:
251,015,105 ÷ 2 = 125,507,552.5
If the quotient is a whole number, then 2 and 125,507,552.5 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 | 251,015,105 | |
| -1 | -251,015,105 |
Now, we try dividing 251,015,105 by 3:
251,015,105 ÷ 3 = 83,671,701.6667
If the quotient is a whole number, then 3 and 83,671,701.6667 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 | 251,015,105 | |
| -1 | -251,015,105 |
Let's try dividing by 4:
251,015,105 ÷ 4 = 62,753,776.25
If the quotient is a whole number, then 4 and 62,753,776.25 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 | 251,015,105 | |
| -1 | 251,015,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 121 | 271 | 605 | 1,355 | 1,531 | 2,981 | 7,655 | 14,905 | 16,841 | 32,791 | 84,205 | 163,955 | 185,251 | 414,901 | 926,255 | 2,074,505 | 4,563,911 | 22,819,555 | 50,203,021 | 251,015,105 |
| -1 | -5 | -11 | -55 | -121 | -271 | -605 | -1,355 | -1,531 | -2,981 | -7,655 | -14,905 | -16,841 | -32,791 | -84,205 | -163,955 | -185,251 | -414,901 | -926,255 | -2,074,505 | -4,563,911 | -22,819,555 | -50,203,021 | -251,015,105 |
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