A:
Positive:
1 x 31433403111 x 2857582123 x 1366669783 x 3787157253 x 1242427913 x 3442871909 x 16465914969 x 20999
Negative:
-1 x -314334031-11 x -28575821-23 x -13666697-83 x -3787157-253 x -1242427-913 x -344287-1909 x -164659-14969 x -20999
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 314,334,031, 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 | 314,334,031 | |
| -1 | -314,334,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,334,031.
Example:
1 x 314,334,031 = 314,334,031
and
-1 x -314,334,031 = 314,334,031
Notice both answers equal 314,334,031
With that explanation out of the way, let's continue. Next, we take the number 314,334,031 and divide it by 2:
314,334,031 ÷ 2 = 157,167,015.5
If the quotient is a whole number, then 2 and 157,167,015.5 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 | 314,334,031 | |
| -1 | -314,334,031 |
Now, we try dividing 314,334,031 by 3:
314,334,031 ÷ 3 = 104,778,010.3333
If the quotient is a whole number, then 3 and 104,778,010.3333 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 | 314,334,031 | |
| -1 | -314,334,031 |
Let's try dividing by 4:
314,334,031 ÷ 4 = 78,583,507.75
If the quotient is a whole number, then 4 and 78,583,507.75 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 | 314,334,031 | |
| -1 | 314,334,031 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 83 | 253 | 913 | 1,909 | 14,969 | 20,999 | 164,659 | 344,287 | 1,242,427 | 3,787,157 | 13,666,697 | 28,575,821 | 314,334,031 |
| -1 | -11 | -23 | -83 | -253 | -913 | -1,909 | -14,969 | -20,999 | -164,659 | -344,287 | -1,242,427 | -3,787,157 | -13,666,697 | -28,575,821 | -314,334,031 |
Here are some more numbers to try:
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