A:
Positive:
1 x 3107067255 x 621413457 x 4438667525 x 1242826929 x 1071402535 x 8877335145 x 2142805175 x 1775467203 x 1530575725 x 4285611015 x 3061155075 x 61223
Negative:
-1 x -310706725-5 x -62141345-7 x -44386675-25 x -12428269-29 x -10714025-35 x -8877335-145 x -2142805-175 x -1775467-203 x -1530575-725 x -428561-1015 x -306115-5075 x -61223
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 310,706,725, 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 | 310,706,725 | |
| -1 | -310,706,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,706,725.
Example:
1 x 310,706,725 = 310,706,725
and
-1 x -310,706,725 = 310,706,725
Notice both answers equal 310,706,725
With that explanation out of the way, let's continue. Next, we take the number 310,706,725 and divide it by 2:
310,706,725 ÷ 2 = 155,353,362.5
If the quotient is a whole number, then 2 and 155,353,362.5 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 | 310,706,725 | |
| -1 | -310,706,725 |
Now, we try dividing 310,706,725 by 3:
310,706,725 ÷ 3 = 103,568,908.3333
If the quotient is a whole number, then 3 and 103,568,908.3333 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 | 310,706,725 | |
| -1 | -310,706,725 |
Let's try dividing by 4:
310,706,725 ÷ 4 = 77,676,681.25
If the quotient is a whole number, then 4 and 77,676,681.25 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 | 310,706,725 | |
| -1 | 310,706,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 29 | 35 | 145 | 175 | 203 | 725 | 1,015 | 5,075 | 61,223 | 306,115 | 428,561 | 1,530,575 | 1,775,467 | 2,142,805 | 8,877,335 | 10,714,025 | 12,428,269 | 44,386,675 | 62,141,345 | 310,706,725 |
| -1 | -5 | -7 | -25 | -29 | -35 | -145 | -175 | -203 | -725 | -1,015 | -5,075 | -61,223 | -306,115 | -428,561 | -1,530,575 | -1,775,467 | -2,142,805 | -8,877,335 | -10,714,025 | -12,428,269 | -44,386,675 | -62,141,345 | -310,706,725 |
Here are some more numbers to try:
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