A:
Positive:
1 x 4214122119 x 221795923 x 183222773 x 577277437 x 964331321 x 319011387 x 303831679 x 25099
Negative:
-1 x -42141221-19 x -2217959-23 x -1832227-73 x -577277-437 x -96433-1321 x -31901-1387 x -30383-1679 x -25099
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 42,141,221, 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 | 42,141,221 | |
| -1 | -42,141,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,141,221.
Example:
1 x 42,141,221 = 42,141,221
and
-1 x -42,141,221 = 42,141,221
Notice both answers equal 42,141,221
With that explanation out of the way, let's continue. Next, we take the number 42,141,221 and divide it by 2:
42,141,221 ÷ 2 = 21,070,610.5
If the quotient is a whole number, then 2 and 21,070,610.5 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 | 42,141,221 | |
| -1 | -42,141,221 |
Now, we try dividing 42,141,221 by 3:
42,141,221 ÷ 3 = 14,047,073.6667
If the quotient is a whole number, then 3 and 14,047,073.6667 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 | 42,141,221 | |
| -1 | -42,141,221 |
Let's try dividing by 4:
42,141,221 ÷ 4 = 10,535,305.25
If the quotient is a whole number, then 4 and 10,535,305.25 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 | 42,141,221 | |
| -1 | 42,141,221 |
If you did it right, you will end up with this table:
| 1 | 19 | 23 | 73 | 437 | 1,321 | 1,387 | 1,679 | 25,099 | 30,383 | 31,901 | 96,433 | 577,277 | 1,832,227 | 2,217,959 | 42,141,221 |
| -1 | -19 | -23 | -73 | -437 | -1,321 | -1,387 | -1,679 | -25,099 | -30,383 | -31,901 | -96,433 | -577,277 | -1,832,227 | -2,217,959 | -42,141,221 |
Here are some more numbers to try:
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