A:
Positive:
1 x 2625172137 x 3750245917 x 15442189119 x 2206027821 x 3197532687 x 976995747 x 4567913957 x 18809
Negative:
-1 x -262517213-7 x -37502459-17 x -15442189-119 x -2206027-821 x -319753-2687 x -97699-5747 x -45679-13957 x -18809
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 262,517,213, 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 | 262,517,213 | |
| -1 | -262,517,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 262,517,213.
Example:
1 x 262,517,213 = 262,517,213
and
-1 x -262,517,213 = 262,517,213
Notice both answers equal 262,517,213
With that explanation out of the way, let's continue. Next, we take the number 262,517,213 and divide it by 2:
262,517,213 ÷ 2 = 131,258,606.5
If the quotient is a whole number, then 2 and 131,258,606.5 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 | 262,517,213 | |
| -1 | -262,517,213 |
Now, we try dividing 262,517,213 by 3:
262,517,213 ÷ 3 = 87,505,737.6667
If the quotient is a whole number, then 3 and 87,505,737.6667 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 | 262,517,213 | |
| -1 | -262,517,213 |
Let's try dividing by 4:
262,517,213 ÷ 4 = 65,629,303.25
If the quotient is a whole number, then 4 and 65,629,303.25 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 | 262,517,213 | |
| -1 | 262,517,213 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 821 | 2,687 | 5,747 | 13,957 | 18,809 | 45,679 | 97,699 | 319,753 | 2,206,027 | 15,442,189 | 37,502,459 | 262,517,213 |
| -1 | -7 | -17 | -119 | -821 | -2,687 | -5,747 | -13,957 | -18,809 | -45,679 | -97,699 | -319,753 | -2,206,027 | -15,442,189 | -37,502,459 | -262,517,213 |
Here are some more numbers to try:
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