A:
Positive:
1 x 4041721117 x 237748331 x 1303781271 x 149141283 x 142817527 x 766934607 x 87734811 x 8401
Negative:
-1 x -40417211-17 x -2377483-31 x -1303781-271 x -149141-283 x -142817-527 x -76693-4607 x -8773-4811 x -8401
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 40,417,211, 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 | 40,417,211 | |
| -1 | -40,417,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,417,211.
Example:
1 x 40,417,211 = 40,417,211
and
-1 x -40,417,211 = 40,417,211
Notice both answers equal 40,417,211
With that explanation out of the way, let's continue. Next, we take the number 40,417,211 and divide it by 2:
40,417,211 ÷ 2 = 20,208,605.5
If the quotient is a whole number, then 2 and 20,208,605.5 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 | 40,417,211 | |
| -1 | -40,417,211 |
Now, we try dividing 40,417,211 by 3:
40,417,211 ÷ 3 = 13,472,403.6667
If the quotient is a whole number, then 3 and 13,472,403.6667 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 | 40,417,211 | |
| -1 | -40,417,211 |
Let's try dividing by 4:
40,417,211 ÷ 4 = 10,104,302.75
If the quotient is a whole number, then 4 and 10,104,302.75 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 | 40,417,211 | |
| -1 | 40,417,211 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 271 | 283 | 527 | 4,607 | 4,811 | 8,401 | 8,773 | 76,693 | 142,817 | 149,141 | 1,303,781 | 2,377,483 | 40,417,211 |
| -1 | -17 | -31 | -271 | -283 | -527 | -4,607 | -4,811 | -8,401 | -8,773 | -76,693 | -142,817 | -149,141 | -1,303,781 | -2,377,483 | -40,417,211 |
Here are some more numbers to try:
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