A:
Positive:
1 x 30204112913 x 2323393323 x 1313222347 x 6426407299 x 1010171611 x 4943391081 x 27940914053 x 21493
Negative:
-1 x -302041129-13 x -23233933-23 x -13132223-47 x -6426407-299 x -1010171-611 x -494339-1081 x -279409-14053 x -21493
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 302,041,129, 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 | 302,041,129 | |
| -1 | -302,041,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 302,041,129.
Example:
1 x 302,041,129 = 302,041,129
and
-1 x -302,041,129 = 302,041,129
Notice both answers equal 302,041,129
With that explanation out of the way, let's continue. Next, we take the number 302,041,129 and divide it by 2:
302,041,129 ÷ 2 = 151,020,564.5
If the quotient is a whole number, then 2 and 151,020,564.5 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 | 302,041,129 | |
| -1 | -302,041,129 |
Now, we try dividing 302,041,129 by 3:
302,041,129 ÷ 3 = 100,680,376.3333
If the quotient is a whole number, then 3 and 100,680,376.3333 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 | 302,041,129 | |
| -1 | -302,041,129 |
Let's try dividing by 4:
302,041,129 ÷ 4 = 75,510,282.25
If the quotient is a whole number, then 4 and 75,510,282.25 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 | 302,041,129 | |
| -1 | 302,041,129 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 47 | 299 | 611 | 1,081 | 14,053 | 21,493 | 279,409 | 494,339 | 1,010,171 | 6,426,407 | 13,132,223 | 23,233,933 | 302,041,129 |
| -1 | -13 | -23 | -47 | -299 | -611 | -1,081 | -14,053 | -21,493 | -279,409 | -494,339 | -1,010,171 | -6,426,407 | -13,132,223 | -23,233,933 | -302,041,129 |
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