A:
Positive:
1 x 171220217 x 244600319 x 90115949 x 34942953 x 323057133 x 128737347 x 49343371 x 46151931 x 183911007 x 170032429 x 70492597 x 6593
Negative:
-1 x -17122021-7 x -2446003-19 x -901159-49 x -349429-53 x -323057-133 x -128737-347 x -49343-371 x -46151-931 x -18391-1007 x -17003-2429 x -7049-2597 x -6593
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 17,122,021, 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 | 17,122,021 | |
| -1 | -17,122,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,122,021.
Example:
1 x 17,122,021 = 17,122,021
and
-1 x -17,122,021 = 17,122,021
Notice both answers equal 17,122,021
With that explanation out of the way, let's continue. Next, we take the number 17,122,021 and divide it by 2:
17,122,021 ÷ 2 = 8,561,010.5
If the quotient is a whole number, then 2 and 8,561,010.5 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 | 17,122,021 | |
| -1 | -17,122,021 |
Now, we try dividing 17,122,021 by 3:
17,122,021 ÷ 3 = 5,707,340.3333
If the quotient is a whole number, then 3 and 5,707,340.3333 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 | 17,122,021 | |
| -1 | -17,122,021 |
Let's try dividing by 4:
17,122,021 ÷ 4 = 4,280,505.25
If the quotient is a whole number, then 4 and 4,280,505.25 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 | 17,122,021 | |
| -1 | 17,122,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 49 | 53 | 133 | 347 | 371 | 931 | 1,007 | 2,429 | 2,597 | 6,593 | 7,049 | 17,003 | 18,391 | 46,151 | 49,343 | 128,737 | 323,057 | 349,429 | 901,159 | 2,446,003 | 17,122,021 |
| -1 | -7 | -19 | -49 | -53 | -133 | -347 | -371 | -931 | -1,007 | -2,429 | -2,597 | -6,593 | -7,049 | -17,003 | -18,391 | -46,151 | -49,343 | -128,737 | -323,057 | -349,429 | -901,159 | -2,446,003 | -17,122,021 |
Here are some more numbers to try:
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