A:
Positive:
1 x 3133250355 x 6266500797 x 3230155223 x 1405045485 x 6460311115 x 2810092897 x 10815514485 x 21631
Negative:
-1 x -313325035-5 x -62665007-97 x -3230155-223 x -1405045-485 x -646031-1115 x -281009-2897 x -108155-14485 x -21631
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 313,325,035, 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 | 313,325,035 | |
| -1 | -313,325,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,325,035.
Example:
1 x 313,325,035 = 313,325,035
and
-1 x -313,325,035 = 313,325,035
Notice both answers equal 313,325,035
With that explanation out of the way, let's continue. Next, we take the number 313,325,035 and divide it by 2:
313,325,035 ÷ 2 = 156,662,517.5
If the quotient is a whole number, then 2 and 156,662,517.5 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 | 313,325,035 | |
| -1 | -313,325,035 |
Now, we try dividing 313,325,035 by 3:
313,325,035 ÷ 3 = 104,441,678.3333
If the quotient is a whole number, then 3 and 104,441,678.3333 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 | 313,325,035 | |
| -1 | -313,325,035 |
Let's try dividing by 4:
313,325,035 ÷ 4 = 78,331,258.75
If the quotient is a whole number, then 4 and 78,331,258.75 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 | 313,325,035 | |
| -1 | 313,325,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 97 | 223 | 485 | 1,115 | 2,897 | 14,485 | 21,631 | 108,155 | 281,009 | 646,031 | 1,405,045 | 3,230,155 | 62,665,007 | 313,325,035 |
| -1 | -5 | -97 | -223 | -485 | -1,115 | -2,897 | -14,485 | -21,631 | -108,155 | -281,009 | -646,031 | -1,405,045 | -3,230,155 | -62,665,007 | -313,325,035 |
Here are some more numbers to try:
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