A:
Positive:
1 x 4312140117 x 253655367 x 643603131 x 329171289 x 1492091139 x 378592227 x 193634913 x 8777
Negative:
-1 x -43121401-17 x -2536553-67 x -643603-131 x -329171-289 x -149209-1139 x -37859-2227 x -19363-4913 x -8777
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 43,121,401, 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 | 43,121,401 | |
| -1 | -43,121,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,121,401.
Example:
1 x 43,121,401 = 43,121,401
and
-1 x -43,121,401 = 43,121,401
Notice both answers equal 43,121,401
With that explanation out of the way, let's continue. Next, we take the number 43,121,401 and divide it by 2:
43,121,401 ÷ 2 = 21,560,700.5
If the quotient is a whole number, then 2 and 21,560,700.5 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 | 43,121,401 | |
| -1 | -43,121,401 |
Now, we try dividing 43,121,401 by 3:
43,121,401 ÷ 3 = 14,373,800.3333
If the quotient is a whole number, then 3 and 14,373,800.3333 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 | 43,121,401 | |
| -1 | -43,121,401 |
Let's try dividing by 4:
43,121,401 ÷ 4 = 10,780,350.25
If the quotient is a whole number, then 4 and 10,780,350.25 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 | 43,121,401 | |
| -1 | 43,121,401 |
If you did it right, you will end up with this table:
| 1 | 17 | 67 | 131 | 289 | 1,139 | 2,227 | 4,913 | 8,777 | 19,363 | 37,859 | 149,209 | 329,171 | 643,603 | 2,536,553 | 43,121,401 |
| -1 | -17 | -67 | -131 | -289 | -1,139 | -2,227 | -4,913 | -8,777 | -19,363 | -37,859 | -149,209 | -329,171 | -643,603 | -2,536,553 | -43,121,401 |
Here are some more numbers to try:
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