A:
Positive:
1 x 22123017 x 31604313 x 17017723 x 9618749 x 4514991 x 24311151 x 14651161 x 13741299 x 7399637 x 34731057 x 20931127 x 1963
Negative:
-1 x -2212301-7 x -316043-13 x -170177-23 x -96187-49 x -45149-91 x -24311-151 x -14651-161 x -13741-299 x -7399-637 x -3473-1057 x -2093-1127 x -1963
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 2,212,301, 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 | 2,212,301 | |
| -1 | -2,212,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,212,301.
Example:
1 x 2,212,301 = 2,212,301
and
-1 x -2,212,301 = 2,212,301
Notice both answers equal 2,212,301
With that explanation out of the way, let's continue. Next, we take the number 2,212,301 and divide it by 2:
2,212,301 ÷ 2 = 1,106,150.5
If the quotient is a whole number, then 2 and 1,106,150.5 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 | 2,212,301 | |
| -1 | -2,212,301 |
Now, we try dividing 2,212,301 by 3:
2,212,301 ÷ 3 = 737,433.6667
If the quotient is a whole number, then 3 and 737,433.6667 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 | 2,212,301 | |
| -1 | -2,212,301 |
Let's try dividing by 4:
2,212,301 ÷ 4 = 553,075.25
If the quotient is a whole number, then 4 and 553,075.25 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 | 2,212,301 | |
| -1 | 2,212,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 49 | 91 | 151 | 161 | 299 | 637 | 1,057 | 1,127 | 1,963 | 2,093 | 3,473 | 7,399 | 13,741 | 14,651 | 24,311 | 45,149 | 96,187 | 170,177 | 316,043 | 2,212,301 |
| -1 | -7 | -13 | -23 | -49 | -91 | -151 | -161 | -299 | -637 | -1,057 | -1,127 | -1,963 | -2,093 | -3,473 | -7,399 | -13,741 | -14,651 | -24,311 | -45,149 | -96,187 | -170,177 | -316,043 | -2,212,301 |
Here are some more numbers to try:
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