A:
Positive:
1 x 2334421111 x 212220141 x 569371191 x 122221271 x 86141451 x 517612101 x 111112981 x 7831
Negative:
-1 x -23344211-11 x -2122201-41 x -569371-191 x -122221-271 x -86141-451 x -51761-2101 x -11111-2981 x -7831
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 23,344,211, 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 | 23,344,211 | |
| -1 | -23,344,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,344,211.
Example:
1 x 23,344,211 = 23,344,211
and
-1 x -23,344,211 = 23,344,211
Notice both answers equal 23,344,211
With that explanation out of the way, let's continue. Next, we take the number 23,344,211 and divide it by 2:
23,344,211 ÷ 2 = 11,672,105.5
If the quotient is a whole number, then 2 and 11,672,105.5 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 | 23,344,211 | |
| -1 | -23,344,211 |
Now, we try dividing 23,344,211 by 3:
23,344,211 ÷ 3 = 7,781,403.6667
If the quotient is a whole number, then 3 and 7,781,403.6667 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 | 23,344,211 | |
| -1 | -23,344,211 |
Let's try dividing by 4:
23,344,211 ÷ 4 = 5,836,052.75
If the quotient is a whole number, then 4 and 5,836,052.75 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 | 23,344,211 | |
| -1 | 23,344,211 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 191 | 271 | 451 | 2,101 | 2,981 | 7,831 | 11,111 | 51,761 | 86,141 | 122,221 | 569,371 | 2,122,201 | 23,344,211 |
| -1 | -11 | -41 | -191 | -271 | -451 | -2,101 | -2,981 | -7,831 | -11,111 | -51,761 | -86,141 | -122,221 | -569,371 | -2,122,201 | -23,344,211 |
Here are some more numbers to try:
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