A:
Positive:
1 x 3104054155 x 6208108329 x 10703635145 x 2140727151 x 2055665755 x 4111334379 x 7088514177 x 21895
Negative:
-1 x -310405415-5 x -62081083-29 x -10703635-145 x -2140727-151 x -2055665-755 x -411133-4379 x -70885-14177 x -21895
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 310,405,415, 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 | 310,405,415 | |
| -1 | -310,405,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,405,415.
Example:
1 x 310,405,415 = 310,405,415
and
-1 x -310,405,415 = 310,405,415
Notice both answers equal 310,405,415
With that explanation out of the way, let's continue. Next, we take the number 310,405,415 and divide it by 2:
310,405,415 ÷ 2 = 155,202,707.5
If the quotient is a whole number, then 2 and 155,202,707.5 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 | 310,405,415 | |
| -1 | -310,405,415 |
Now, we try dividing 310,405,415 by 3:
310,405,415 ÷ 3 = 103,468,471.6667
If the quotient is a whole number, then 3 and 103,468,471.6667 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 | 310,405,415 | |
| -1 | -310,405,415 |
Let's try dividing by 4:
310,405,415 ÷ 4 = 77,601,353.75
If the quotient is a whole number, then 4 and 77,601,353.75 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 | 310,405,415 | |
| -1 | 310,405,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 151 | 755 | 4,379 | 14,177 | 21,895 | 70,885 | 411,133 | 2,055,665 | 2,140,727 | 10,703,635 | 62,081,083 | 310,405,415 |
| -1 | -5 | -29 | -145 | -151 | -755 | -4,379 | -14,177 | -21,895 | -70,885 | -411,133 | -2,055,665 | -2,140,727 | -10,703,635 | -62,081,083 | -310,405,415 |
Here are some more numbers to try:
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