A:
Positive:
1 x 3172102577 x 4531575113 x 2440078991 x 34858271049 x 3023933323 x 954597343 x 4319913637 x 23261
Negative:
-1 x -317210257-7 x -45315751-13 x -24400789-91 x -3485827-1049 x -302393-3323 x -95459-7343 x -43199-13637 x -23261
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 317,210,257, 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 | 317,210,257 | |
| -1 | -317,210,257 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 317,210,257.
Example:
1 x 317,210,257 = 317,210,257
and
-1 x -317,210,257 = 317,210,257
Notice both answers equal 317,210,257
With that explanation out of the way, let's continue. Next, we take the number 317,210,257 and divide it by 2:
317,210,257 ÷ 2 = 158,605,128.5
If the quotient is a whole number, then 2 and 158,605,128.5 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 | 317,210,257 | |
| -1 | -317,210,257 |
Now, we try dividing 317,210,257 by 3:
317,210,257 ÷ 3 = 105,736,752.3333
If the quotient is a whole number, then 3 and 105,736,752.3333 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 | 317,210,257 | |
| -1 | -317,210,257 |
Let's try dividing by 4:
317,210,257 ÷ 4 = 79,302,564.25
If the quotient is a whole number, then 4 and 79,302,564.25 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 | 317,210,257 | |
| -1 | 317,210,257 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 1,049 | 3,323 | 7,343 | 13,637 | 23,261 | 43,199 | 95,459 | 302,393 | 3,485,827 | 24,400,789 | 45,315,751 | 317,210,257 |
| -1 | -7 | -13 | -91 | -1,049 | -3,323 | -7,343 | -13,637 | -23,261 | -43,199 | -95,459 | -302,393 | -3,485,827 | -24,400,789 | -45,315,751 | -317,210,257 |
Here are some more numbers to try:
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