A:
Positive:
1 x 31011102111 x 2819191159 x 5256119121 x 2562901359 x 863819649 x 4778291331 x 2329913949 x 785297139 x 4343914641 x 21181
Negative:
-1 x -310111021-11 x -28191911-59 x -5256119-121 x -2562901-359 x -863819-649 x -477829-1331 x -232991-3949 x -78529-7139 x -43439-14641 x -21181
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 310,111,021, 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 | 310,111,021 | |
| -1 | -310,111,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,111,021.
Example:
1 x 310,111,021 = 310,111,021
and
-1 x -310,111,021 = 310,111,021
Notice both answers equal 310,111,021
With that explanation out of the way, let's continue. Next, we take the number 310,111,021 and divide it by 2:
310,111,021 ÷ 2 = 155,055,510.5
If the quotient is a whole number, then 2 and 155,055,510.5 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 | 310,111,021 | |
| -1 | -310,111,021 |
Now, we try dividing 310,111,021 by 3:
310,111,021 ÷ 3 = 103,370,340.3333
If the quotient is a whole number, then 3 and 103,370,340.3333 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 | 310,111,021 | |
| -1 | -310,111,021 |
Let's try dividing by 4:
310,111,021 ÷ 4 = 77,527,755.25
If the quotient is a whole number, then 4 and 77,527,755.25 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 | 310,111,021 | |
| -1 | 310,111,021 |
If you did it right, you will end up with this table:
| 1 | 11 | 59 | 121 | 359 | 649 | 1,331 | 3,949 | 7,139 | 14,641 | 21,181 | 43,439 | 78,529 | 232,991 | 477,829 | 863,819 | 2,562,901 | 5,256,119 | 28,191,911 | 310,111,021 |
| -1 | -11 | -59 | -121 | -359 | -649 | -1,331 | -3,949 | -7,139 | -14,641 | -21,181 | -43,439 | -78,529 | -232,991 | -477,829 | -863,819 | -2,562,901 | -5,256,119 | -28,191,911 | -310,111,021 |
Here are some more numbers to try:
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