A:
Positive:
1 x 3062926113 x 235609723 x 133170789 x 344149299 x 1024391151 x 266111157 x 264732047 x 14963
Negative:
-1 x -30629261-13 x -2356097-23 x -1331707-89 x -344149-299 x -102439-1151 x -26611-1157 x -26473-2047 x -14963
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 30,629,261, 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 | 30,629,261 | |
| -1 | -30,629,261 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,629,261.
Example:
1 x 30,629,261 = 30,629,261
and
-1 x -30,629,261 = 30,629,261
Notice both answers equal 30,629,261
With that explanation out of the way, let's continue. Next, we take the number 30,629,261 and divide it by 2:
30,629,261 ÷ 2 = 15,314,630.5
If the quotient is a whole number, then 2 and 15,314,630.5 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 | 30,629,261 | |
| -1 | -30,629,261 |
Now, we try dividing 30,629,261 by 3:
30,629,261 ÷ 3 = 10,209,753.6667
If the quotient is a whole number, then 3 and 10,209,753.6667 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 | 30,629,261 | |
| -1 | -30,629,261 |
Let's try dividing by 4:
30,629,261 ÷ 4 = 7,657,315.25
If the quotient is a whole number, then 4 and 7,657,315.25 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 | 30,629,261 | |
| -1 | 30,629,261 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 89 | 299 | 1,151 | 1,157 | 2,047 | 14,963 | 26,473 | 26,611 | 102,439 | 344,149 | 1,331,707 | 2,356,097 | 30,629,261 |
| -1 | -13 | -23 | -89 | -299 | -1,151 | -1,157 | -2,047 | -14,963 | -26,473 | -26,611 | -102,439 | -344,149 | -1,331,707 | -2,356,097 | -30,629,261 |
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