A:
Positive:
1 x 3101112355 x 620222477 x 4430160535 x 8860321179 x 1732465895 x 3464931253 x 2474956265 x 49499
Negative:
-1 x -310111235-5 x -62022247-7 x -44301605-35 x -8860321-179 x -1732465-895 x -346493-1253 x -247495-6265 x -49499
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 310,111,235, 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 | 310,111,235 | |
| -1 | -310,111,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,111,235.
Example:
1 x 310,111,235 = 310,111,235
and
-1 x -310,111,235 = 310,111,235
Notice both answers equal 310,111,235
With that explanation out of the way, let's continue. Next, we take the number 310,111,235 and divide it by 2:
310,111,235 ÷ 2 = 155,055,617.5
If the quotient is a whole number, then 2 and 155,055,617.5 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 | 310,111,235 | |
| -1 | -310,111,235 |
Now, we try dividing 310,111,235 by 3:
310,111,235 ÷ 3 = 103,370,411.6667
If the quotient is a whole number, then 3 and 103,370,411.6667 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 | 310,111,235 | |
| -1 | -310,111,235 |
Let's try dividing by 4:
310,111,235 ÷ 4 = 77,527,808.75
If the quotient is a whole number, then 4 and 77,527,808.75 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 | 310,111,235 | |
| -1 | 310,111,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 179 | 895 | 1,253 | 6,265 | 49,499 | 247,495 | 346,493 | 1,732,465 | 8,860,321 | 44,301,605 | 62,022,247 | 310,111,235 |
| -1 | -5 | -7 | -35 | -179 | -895 | -1,253 | -6,265 | -49,499 | -247,495 | -346,493 | -1,732,465 | -8,860,321 | -44,301,605 | -62,022,247 | -310,111,235 |
Here are some more numbers to try:
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