A:
Positive:
1 x 2580821117 x 3686887319 x 1358326989 x 2899799133 x 1940467623 x 4142571691 x 15262111837 x 21803
Negative:
-1 x -258082111-7 x -36868873-19 x -13583269-89 x -2899799-133 x -1940467-623 x -414257-1691 x -152621-11837 x -21803
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 258,082,111, 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 | 258,082,111 | |
| -1 | -258,082,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 258,082,111.
Example:
1 x 258,082,111 = 258,082,111
and
-1 x -258,082,111 = 258,082,111
Notice both answers equal 258,082,111
With that explanation out of the way, let's continue. Next, we take the number 258,082,111 and divide it by 2:
258,082,111 ÷ 2 = 129,041,055.5
If the quotient is a whole number, then 2 and 129,041,055.5 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 | 258,082,111 | |
| -1 | -258,082,111 |
Now, we try dividing 258,082,111 by 3:
258,082,111 ÷ 3 = 86,027,370.3333
If the quotient is a whole number, then 3 and 86,027,370.3333 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 | 258,082,111 | |
| -1 | -258,082,111 |
Let's try dividing by 4:
258,082,111 ÷ 4 = 64,520,527.75
If the quotient is a whole number, then 4 and 64,520,527.75 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 | 258,082,111 | |
| -1 | 258,082,111 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 89 | 133 | 623 | 1,691 | 11,837 | 21,803 | 152,621 | 414,257 | 1,940,467 | 2,899,799 | 13,583,269 | 36,868,873 | 258,082,111 |
| -1 | -7 | -19 | -89 | -133 | -623 | -1,691 | -11,837 | -21,803 | -152,621 | -414,257 | -1,940,467 | -2,899,799 | -13,583,269 | -36,868,873 | -258,082,111 |
Here are some more numbers to try:
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