A:
Positive:
1 x 297266277 x 424666167 x 443681241 x 123347263 x 113029469 x 633831687 x 176211841 x 16147
Negative:
-1 x -29726627-7 x -4246661-67 x -443681-241 x -123347-263 x -113029-469 x -63383-1687 x -17621-1841 x -16147
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 29,726,627, 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 | 29,726,627 | |
| -1 | -29,726,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 29,726,627.
Example:
1 x 29,726,627 = 29,726,627
and
-1 x -29,726,627 = 29,726,627
Notice both answers equal 29,726,627
With that explanation out of the way, let's continue. Next, we take the number 29,726,627 and divide it by 2:
29,726,627 ÷ 2 = 14,863,313.5
If the quotient is a whole number, then 2 and 14,863,313.5 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 | 29,726,627 | |
| -1 | -29,726,627 |
Now, we try dividing 29,726,627 by 3:
29,726,627 ÷ 3 = 9,908,875.6667
If the quotient is a whole number, then 3 and 9,908,875.6667 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 | 29,726,627 | |
| -1 | -29,726,627 |
Let's try dividing by 4:
29,726,627 ÷ 4 = 7,431,656.75
If the quotient is a whole number, then 4 and 7,431,656.75 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 | 29,726,627 | |
| -1 | 29,726,627 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 241 | 263 | 469 | 1,687 | 1,841 | 16,147 | 17,621 | 63,383 | 113,029 | 123,347 | 443,681 | 4,246,661 | 29,726,627 |
| -1 | -7 | -67 | -241 | -263 | -469 | -1,687 | -1,841 | -16,147 | -17,621 | -63,383 | -113,029 | -123,347 | -443,681 | -4,246,661 | -29,726,627 |
Here are some more numbers to try:
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