A:
Positive:
1 x 311133137 x 444475911 x 282848377 x 404069103 x 302071721 x 431531133 x 274613923 x 7931
Negative:
-1 x -31113313-7 x -4444759-11 x -2828483-77 x -404069-103 x -302071-721 x -43153-1133 x -27461-3923 x -7931
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 31,113,313, 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 | 31,113,313 | |
| -1 | -31,113,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,113,313.
Example:
1 x 31,113,313 = 31,113,313
and
-1 x -31,113,313 = 31,113,313
Notice both answers equal 31,113,313
With that explanation out of the way, let's continue. Next, we take the number 31,113,313 and divide it by 2:
31,113,313 ÷ 2 = 15,556,656.5
If the quotient is a whole number, then 2 and 15,556,656.5 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 | 31,113,313 | |
| -1 | -31,113,313 |
Now, we try dividing 31,113,313 by 3:
31,113,313 ÷ 3 = 10,371,104.3333
If the quotient is a whole number, then 3 and 10,371,104.3333 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 | 31,113,313 | |
| -1 | -31,113,313 |
Let's try dividing by 4:
31,113,313 ÷ 4 = 7,778,328.25
If the quotient is a whole number, then 4 and 7,778,328.25 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 | 31,113,313 | |
| -1 | 31,113,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 103 | 721 | 1,133 | 3,923 | 7,931 | 27,461 | 43,153 | 302,071 | 404,069 | 2,828,483 | 4,444,759 | 31,113,313 |
| -1 | -7 | -11 | -77 | -103 | -721 | -1,133 | -3,923 | -7,931 | -27,461 | -43,153 | -302,071 | -404,069 | -2,828,483 | -4,444,759 | -31,113,313 |
Here are some more numbers to try:
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