A:
Positive:
1 x 3141136677 x 4487338143 x 730496949 x 6410483301 x 10435671849 x 1698832107 x 1490813467 x 9060112943 x 24269
Negative:
-1 x -314113667-7 x -44873381-43 x -7304969-49 x -6410483-301 x -1043567-1849 x -169883-2107 x -149081-3467 x -90601-12943 x -24269
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 314,113,667, 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 | 314,113,667 | |
| -1 | -314,113,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,113,667.
Example:
1 x 314,113,667 = 314,113,667
and
-1 x -314,113,667 = 314,113,667
Notice both answers equal 314,113,667
With that explanation out of the way, let's continue. Next, we take the number 314,113,667 and divide it by 2:
314,113,667 ÷ 2 = 157,056,833.5
If the quotient is a whole number, then 2 and 157,056,833.5 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 | 314,113,667 | |
| -1 | -314,113,667 |
Now, we try dividing 314,113,667 by 3:
314,113,667 ÷ 3 = 104,704,555.6667
If the quotient is a whole number, then 3 and 104,704,555.6667 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 | 314,113,667 | |
| -1 | -314,113,667 |
Let's try dividing by 4:
314,113,667 ÷ 4 = 78,528,416.75
If the quotient is a whole number, then 4 and 78,528,416.75 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 | 314,113,667 | |
| -1 | 314,113,667 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 49 | 301 | 1,849 | 2,107 | 3,467 | 12,943 | 24,269 | 90,601 | 149,081 | 169,883 | 1,043,567 | 6,410,483 | 7,304,969 | 44,873,381 | 314,113,667 |
| -1 | -7 | -43 | -49 | -301 | -1,849 | -2,107 | -3,467 | -12,943 | -24,269 | -90,601 | -149,081 | -169,883 | -1,043,567 | -6,410,483 | -7,304,969 | -44,873,381 | -314,113,667 |
Here are some more numbers to try:
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