A:
Positive:
1 x 2012144155 x 4024288343 x 4679405215 x 935881283 x 7110051415 x 1422013307 x 6084512169 x 16535
Negative:
-1 x -201214415-5 x -40242883-43 x -4679405-215 x -935881-283 x -711005-1415 x -142201-3307 x -60845-12169 x -16535
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 201,214,415, 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 | 201,214,415 | |
| -1 | -201,214,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,214,415.
Example:
1 x 201,214,415 = 201,214,415
and
-1 x -201,214,415 = 201,214,415
Notice both answers equal 201,214,415
With that explanation out of the way, let's continue. Next, we take the number 201,214,415 and divide it by 2:
201,214,415 ÷ 2 = 100,607,207.5
If the quotient is a whole number, then 2 and 100,607,207.5 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 | 201,214,415 | |
| -1 | -201,214,415 |
Now, we try dividing 201,214,415 by 3:
201,214,415 ÷ 3 = 67,071,471.6667
If the quotient is a whole number, then 3 and 67,071,471.6667 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 | 201,214,415 | |
| -1 | -201,214,415 |
Let's try dividing by 4:
201,214,415 ÷ 4 = 50,303,603.75
If the quotient is a whole number, then 4 and 50,303,603.75 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 | 201,214,415 | |
| -1 | 201,214,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 283 | 1,415 | 3,307 | 12,169 | 16,535 | 60,845 | 142,201 | 711,005 | 935,881 | 4,679,405 | 40,242,883 | 201,214,415 |
| -1 | -5 | -43 | -215 | -283 | -1,415 | -3,307 | -12,169 | -16,535 | -60,845 | -142,201 | -711,005 | -935,881 | -4,679,405 | -40,242,883 | -201,214,415 |
Here are some more numbers to try:
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