A:
Positive:
1 x 31025250113 x 2386557719 x 16329079211 x 1470391247 x 12560832743 x 1131074009 x 773895953 x 52117
Negative:
-1 x -310252501-13 x -23865577-19 x -16329079-211 x -1470391-247 x -1256083-2743 x -113107-4009 x -77389-5953 x -52117
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 310,252,501, 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 | 310,252,501 | |
| -1 | -310,252,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,252,501.
Example:
1 x 310,252,501 = 310,252,501
and
-1 x -310,252,501 = 310,252,501
Notice both answers equal 310,252,501
With that explanation out of the way, let's continue. Next, we take the number 310,252,501 and divide it by 2:
310,252,501 ÷ 2 = 155,126,250.5
If the quotient is a whole number, then 2 and 155,126,250.5 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 | 310,252,501 | |
| -1 | -310,252,501 |
Now, we try dividing 310,252,501 by 3:
310,252,501 ÷ 3 = 103,417,500.3333
If the quotient is a whole number, then 3 and 103,417,500.3333 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 | 310,252,501 | |
| -1 | -310,252,501 |
Let's try dividing by 4:
310,252,501 ÷ 4 = 77,563,125.25
If the quotient is a whole number, then 4 and 77,563,125.25 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 | 310,252,501 | |
| -1 | 310,252,501 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 211 | 247 | 2,743 | 4,009 | 5,953 | 52,117 | 77,389 | 113,107 | 1,256,083 | 1,470,391 | 16,329,079 | 23,865,577 | 310,252,501 |
| -1 | -13 | -19 | -211 | -247 | -2,743 | -4,009 | -5,953 | -52,117 | -77,389 | -113,107 | -1,256,083 | -1,470,391 | -16,329,079 | -23,865,577 | -310,252,501 |
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