A:
Positive:
1 x 401233497 x 573190717 x 2360197119 x 337171193 x 2078931351 x 296991747 x 229673281 x 12229
Negative:
-1 x -40123349-7 x -5731907-17 x -2360197-119 x -337171-193 x -207893-1351 x -29699-1747 x -22967-3281 x -12229
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 40,123,349, 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 | 40,123,349 | |
| -1 | -40,123,349 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,123,349.
Example:
1 x 40,123,349 = 40,123,349
and
-1 x -40,123,349 = 40,123,349
Notice both answers equal 40,123,349
With that explanation out of the way, let's continue. Next, we take the number 40,123,349 and divide it by 2:
40,123,349 ÷ 2 = 20,061,674.5
If the quotient is a whole number, then 2 and 20,061,674.5 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 | 40,123,349 | |
| -1 | -40,123,349 |
Now, we try dividing 40,123,349 by 3:
40,123,349 ÷ 3 = 13,374,449.6667
If the quotient is a whole number, then 3 and 13,374,449.6667 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 | 40,123,349 | |
| -1 | -40,123,349 |
Let's try dividing by 4:
40,123,349 ÷ 4 = 10,030,837.25
If the quotient is a whole number, then 4 and 10,030,837.25 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 | 40,123,349 | |
| -1 | 40,123,349 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 193 | 1,351 | 1,747 | 3,281 | 12,229 | 22,967 | 29,699 | 207,893 | 337,171 | 2,360,197 | 5,731,907 | 40,123,349 |
| -1 | -7 | -17 | -119 | -193 | -1,351 | -1,747 | -3,281 | -12,229 | -22,967 | -29,699 | -207,893 | -337,171 | -2,360,197 | -5,731,907 | -40,123,349 |
Here are some more numbers to try:
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