A:
Positive:
1 x 31042123137 x 838976389 x 3487879107 x 2901133881 x 3523513293 x 942673959 x 784099523 x 32597
Negative:
-1 x -310421231-37 x -8389763-89 x -3487879-107 x -2901133-881 x -352351-3293 x -94267-3959 x -78409-9523 x -32597
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 310,421,231, 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 | 310,421,231 | |
| -1 | -310,421,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,421,231.
Example:
1 x 310,421,231 = 310,421,231
and
-1 x -310,421,231 = 310,421,231
Notice both answers equal 310,421,231
With that explanation out of the way, let's continue. Next, we take the number 310,421,231 and divide it by 2:
310,421,231 ÷ 2 = 155,210,615.5
If the quotient is a whole number, then 2 and 155,210,615.5 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 | 310,421,231 | |
| -1 | -310,421,231 |
Now, we try dividing 310,421,231 by 3:
310,421,231 ÷ 3 = 103,473,743.6667
If the quotient is a whole number, then 3 and 103,473,743.6667 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 | 310,421,231 | |
| -1 | -310,421,231 |
Let's try dividing by 4:
310,421,231 ÷ 4 = 77,605,307.75
If the quotient is a whole number, then 4 and 77,605,307.75 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 | 310,421,231 | |
| -1 | 310,421,231 |
If you did it right, you will end up with this table:
| 1 | 37 | 89 | 107 | 881 | 3,293 | 3,959 | 9,523 | 32,597 | 78,409 | 94,267 | 352,351 | 2,901,133 | 3,487,879 | 8,389,763 | 310,421,231 |
| -1 | -37 | -89 | -107 | -881 | -3,293 | -3,959 | -9,523 | -32,597 | -78,409 | -94,267 | -352,351 | -2,901,133 | -3,487,879 | -8,389,763 | -310,421,231 |
Here are some more numbers to try:
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