A:
Positive:
1 x 2122111123 x 92265747 x 45151367 x 316733293 x 724271081 x 196311541 x 137713149 x 6739
Negative:
-1 x -21221111-23 x -922657-47 x -451513-67 x -316733-293 x -72427-1081 x -19631-1541 x -13771-3149 x -6739
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 21,221,111, 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 | 21,221,111 | |
| -1 | -21,221,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,221,111.
Example:
1 x 21,221,111 = 21,221,111
and
-1 x -21,221,111 = 21,221,111
Notice both answers equal 21,221,111
With that explanation out of the way, let's continue. Next, we take the number 21,221,111 and divide it by 2:
21,221,111 ÷ 2 = 10,610,555.5
If the quotient is a whole number, then 2 and 10,610,555.5 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 | 21,221,111 | |
| -1 | -21,221,111 |
Now, we try dividing 21,221,111 by 3:
21,221,111 ÷ 3 = 7,073,703.6667
If the quotient is a whole number, then 3 and 7,073,703.6667 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 | 21,221,111 | |
| -1 | -21,221,111 |
Let's try dividing by 4:
21,221,111 ÷ 4 = 5,305,277.75
If the quotient is a whole number, then 4 and 5,305,277.75 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 | 21,221,111 | |
| -1 | 21,221,111 |
If you did it right, you will end up with this table:
| 1 | 23 | 47 | 67 | 293 | 1,081 | 1,541 | 3,149 | 6,739 | 13,771 | 19,631 | 72,427 | 316,733 | 451,513 | 922,657 | 21,221,111 |
| -1 | -23 | -47 | -67 | -293 | -1,081 | -1,541 | -3,149 | -6,739 | -13,771 | -19,631 | -72,427 | -316,733 | -451,513 | -922,657 | -21,221,111 |
Here are some more numbers to try:
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