A:
Positive:
1 x 2121050055 x 424210017 x 3030071517 x 1247676535 x 606014385 x 2495353119 x 1782395595 x 356479
Negative:
-1 x -212105005-5 x -42421001-7 x -30300715-17 x -12476765-35 x -6060143-85 x -2495353-119 x -1782395-595 x -356479
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 212,105,005, 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 | 212,105,005 | |
| -1 | -212,105,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,105,005.
Example:
1 x 212,105,005 = 212,105,005
and
-1 x -212,105,005 = 212,105,005
Notice both answers equal 212,105,005
With that explanation out of the way, let's continue. Next, we take the number 212,105,005 and divide it by 2:
212,105,005 ÷ 2 = 106,052,502.5
If the quotient is a whole number, then 2 and 106,052,502.5 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 | 212,105,005 | |
| -1 | -212,105,005 |
Now, we try dividing 212,105,005 by 3:
212,105,005 ÷ 3 = 70,701,668.3333
If the quotient is a whole number, then 3 and 70,701,668.3333 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 | 212,105,005 | |
| -1 | -212,105,005 |
Let's try dividing by 4:
212,105,005 ÷ 4 = 53,026,251.25
If the quotient is a whole number, then 4 and 53,026,251.25 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 | 212,105,005 | |
| -1 | 212,105,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 17 | 35 | 85 | 119 | 595 | 356,479 | 1,782,395 | 2,495,353 | 6,060,143 | 12,476,765 | 30,300,715 | 42,421,001 | 212,105,005 |
| -1 | -5 | -7 | -17 | -35 | -85 | -119 | -595 | -356,479 | -1,782,395 | -2,495,353 | -6,060,143 | -12,476,765 | -30,300,715 | -42,421,001 | -212,105,005 |
Here are some more numbers to try:
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