A:
Positive:
1 x 51312317 x 73303323 x 22309729 x 17693949 x 104719157 x 32683161 x 31871203 x 25277667 x 76931099 x 46691127 x 45531421 x 3611
Negative:
-1 x -5131231-7 x -733033-23 x -223097-29 x -176939-49 x -104719-157 x -32683-161 x -31871-203 x -25277-667 x -7693-1099 x -4669-1127 x -4553-1421 x -3611
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 5,131,231, 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 | 5,131,231 | |
| -1 | -5,131,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,131,231.
Example:
1 x 5,131,231 = 5,131,231
and
-1 x -5,131,231 = 5,131,231
Notice both answers equal 5,131,231
With that explanation out of the way, let's continue. Next, we take the number 5,131,231 and divide it by 2:
5,131,231 ÷ 2 = 2,565,615.5
If the quotient is a whole number, then 2 and 2,565,615.5 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 | 5,131,231 | |
| -1 | -5,131,231 |
Now, we try dividing 5,131,231 by 3:
5,131,231 ÷ 3 = 1,710,410.3333
If the quotient is a whole number, then 3 and 1,710,410.3333 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 | 5,131,231 | |
| -1 | -5,131,231 |
Let's try dividing by 4:
5,131,231 ÷ 4 = 1,282,807.75
If the quotient is a whole number, then 4 and 1,282,807.75 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 | 5,131,231 | |
| -1 | 5,131,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 29 | 49 | 157 | 161 | 203 | 667 | 1,099 | 1,127 | 1,421 | 3,611 | 4,553 | 4,669 | 7,693 | 25,277 | 31,871 | 32,683 | 104,719 | 176,939 | 223,097 | 733,033 | 5,131,231 |
| -1 | -7 | -23 | -29 | -49 | -157 | -161 | -203 | -667 | -1,099 | -1,127 | -1,421 | -3,611 | -4,553 | -4,669 | -7,693 | -25,277 | -31,871 | -32,683 | -104,719 | -176,939 | -223,097 | -733,033 | -5,131,231 |
Here are some more numbers to try:
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