A:
Positive:
1 x 217421055 x 43484217 x 310601511 x 197655535 x 62120355 x 39531177 x 282365385 x 56473
Negative:
-1 x -21742105-5 x -4348421-7 x -3106015-11 x -1976555-35 x -621203-55 x -395311-77 x -282365-385 x -56473
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 21,742,105, 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 | 21,742,105 | |
| -1 | -21,742,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,742,105.
Example:
1 x 21,742,105 = 21,742,105
and
-1 x -21,742,105 = 21,742,105
Notice both answers equal 21,742,105
With that explanation out of the way, let's continue. Next, we take the number 21,742,105 and divide it by 2:
21,742,105 ÷ 2 = 10,871,052.5
If the quotient is a whole number, then 2 and 10,871,052.5 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 | 21,742,105 | |
| -1 | -21,742,105 |
Now, we try dividing 21,742,105 by 3:
21,742,105 ÷ 3 = 7,247,368.3333
If the quotient is a whole number, then 3 and 7,247,368.3333 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 | 21,742,105 | |
| -1 | -21,742,105 |
Let's try dividing by 4:
21,742,105 ÷ 4 = 5,435,526.25
If the quotient is a whole number, then 4 and 5,435,526.25 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 | 21,742,105 | |
| -1 | 21,742,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 385 | 56,473 | 282,365 | 395,311 | 621,203 | 1,976,555 | 3,106,015 | 4,348,421 | 21,742,105 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -385 | -56,473 | -282,365 | -395,311 | -621,203 | -1,976,555 | -3,106,015 | -4,348,421 | -21,742,105 |
Here are some more numbers to try:
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