A:
Positive:
1 x 401141055 x 802282129 x 138324537 x 1084165145 x 276649185 x 2168331073 x 373855365 x 7477
Negative:
-1 x -40114105-5 x -8022821-29 x -1383245-37 x -1084165-145 x -276649-185 x -216833-1073 x -37385-5365 x -7477
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 40,114,105, 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 | 40,114,105 | |
| -1 | -40,114,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,114,105.
Example:
1 x 40,114,105 = 40,114,105
and
-1 x -40,114,105 = 40,114,105
Notice both answers equal 40,114,105
With that explanation out of the way, let's continue. Next, we take the number 40,114,105 and divide it by 2:
40,114,105 ÷ 2 = 20,057,052.5
If the quotient is a whole number, then 2 and 20,057,052.5 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 | 40,114,105 | |
| -1 | -40,114,105 |
Now, we try dividing 40,114,105 by 3:
40,114,105 ÷ 3 = 13,371,368.3333
If the quotient is a whole number, then 3 and 13,371,368.3333 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 | 40,114,105 | |
| -1 | -40,114,105 |
Let's try dividing by 4:
40,114,105 ÷ 4 = 10,028,526.25
If the quotient is a whole number, then 4 and 10,028,526.25 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 | 40,114,105 | |
| -1 | 40,114,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 37 | 145 | 185 | 1,073 | 5,365 | 7,477 | 37,385 | 216,833 | 276,649 | 1,084,165 | 1,383,245 | 8,022,821 | 40,114,105 |
| -1 | -5 | -29 | -37 | -145 | -185 | -1,073 | -5,365 | -7,477 | -37,385 | -216,833 | -276,649 | -1,084,165 | -1,383,245 | -8,022,821 | -40,114,105 |
Here are some more numbers to try:
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