A:
Positive:
1 x 41253031313 x 3173310117 x 24266489181 x 2279173221 x 18666532353 x 1753213077 x 13406910313 x 40001
Negative:
-1 x -412530313-13 x -31733101-17 x -24266489-181 x -2279173-221 x -1866653-2353 x -175321-3077 x -134069-10313 x -40001
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 412,530,313, 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 | 412,530,313 | |
| -1 | -412,530,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,530,313.
Example:
1 x 412,530,313 = 412,530,313
and
-1 x -412,530,313 = 412,530,313
Notice both answers equal 412,530,313
With that explanation out of the way, let's continue. Next, we take the number 412,530,313 and divide it by 2:
412,530,313 ÷ 2 = 206,265,156.5
If the quotient is a whole number, then 2 and 206,265,156.5 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 | 412,530,313 | |
| -1 | -412,530,313 |
Now, we try dividing 412,530,313 by 3:
412,530,313 ÷ 3 = 137,510,104.3333
If the quotient is a whole number, then 3 and 137,510,104.3333 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 | 412,530,313 | |
| -1 | -412,530,313 |
Let's try dividing by 4:
412,530,313 ÷ 4 = 103,132,578.25
If the quotient is a whole number, then 4 and 103,132,578.25 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 | 412,530,313 | |
| -1 | 412,530,313 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 181 | 221 | 2,353 | 3,077 | 10,313 | 40,001 | 134,069 | 175,321 | 1,866,653 | 2,279,173 | 24,266,489 | 31,733,101 | 412,530,313 |
| -1 | -13 | -17 | -181 | -221 | -2,353 | -3,077 | -10,313 | -40,001 | -134,069 | -175,321 | -1,866,653 | -2,279,173 | -24,266,489 | -31,733,101 | -412,530,313 |
Here are some more numbers to try:
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