A:
Positive:
1 x 4212301317 x 6017573317 x 24778243119 x 3539749569 x 7402993983 x 1057576221 x 677119673 x 43547
Negative:
-1 x -421230131-7 x -60175733-17 x -24778243-119 x -3539749-569 x -740299-3983 x -105757-6221 x -67711-9673 x -43547
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 421,230,131, 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 | 421,230,131 | |
| -1 | -421,230,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 421,230,131.
Example:
1 x 421,230,131 = 421,230,131
and
-1 x -421,230,131 = 421,230,131
Notice both answers equal 421,230,131
With that explanation out of the way, let's continue. Next, we take the number 421,230,131 and divide it by 2:
421,230,131 ÷ 2 = 210,615,065.5
If the quotient is a whole number, then 2 and 210,615,065.5 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 | 421,230,131 | |
| -1 | -421,230,131 |
Now, we try dividing 421,230,131 by 3:
421,230,131 ÷ 3 = 140,410,043.6667
If the quotient is a whole number, then 3 and 140,410,043.6667 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 | 421,230,131 | |
| -1 | -421,230,131 |
Let's try dividing by 4:
421,230,131 ÷ 4 = 105,307,532.75
If the quotient is a whole number, then 4 and 105,307,532.75 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 | 421,230,131 | |
| -1 | 421,230,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 569 | 3,983 | 6,221 | 9,673 | 43,547 | 67,711 | 105,757 | 740,299 | 3,539,749 | 24,778,243 | 60,175,733 | 421,230,131 |
| -1 | -7 | -17 | -119 | -569 | -3,983 | -6,221 | -9,673 | -43,547 | -67,711 | -105,757 | -740,299 | -3,539,749 | -24,778,243 | -60,175,733 | -421,230,131 |
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