A:
Positive:
1 x 172210255 x 344420525 x 68884141 x 42002553 x 324925205 x 84005265 x 64985317 x 543251025 x 168011325 x 129971585 x 108652173 x 7925
Negative:
-1 x -17221025-5 x -3444205-25 x -688841-41 x -420025-53 x -324925-205 x -84005-265 x -64985-317 x -54325-1025 x -16801-1325 x -12997-1585 x -10865-2173 x -7925
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 17,221,025, 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 | 17,221,025 | |
| -1 | -17,221,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,221,025.
Example:
1 x 17,221,025 = 17,221,025
and
-1 x -17,221,025 = 17,221,025
Notice both answers equal 17,221,025
With that explanation out of the way, let's continue. Next, we take the number 17,221,025 and divide it by 2:
17,221,025 ÷ 2 = 8,610,512.5
If the quotient is a whole number, then 2 and 8,610,512.5 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 | 17,221,025 | |
| -1 | -17,221,025 |
Now, we try dividing 17,221,025 by 3:
17,221,025 ÷ 3 = 5,740,341.6667
If the quotient is a whole number, then 3 and 5,740,341.6667 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 | 17,221,025 | |
| -1 | -17,221,025 |
Let's try dividing by 4:
17,221,025 ÷ 4 = 4,305,256.25
If the quotient is a whole number, then 4 and 4,305,256.25 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 | 17,221,025 | |
| -1 | 17,221,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 53 | 205 | 265 | 317 | 1,025 | 1,325 | 1,585 | 2,173 | 7,925 | 10,865 | 12,997 | 16,801 | 54,325 | 64,985 | 84,005 | 324,925 | 420,025 | 688,841 | 3,444,205 | 17,221,025 |
| -1 | -5 | -25 | -41 | -53 | -205 | -265 | -317 | -1,025 | -1,325 | -1,585 | -2,173 | -7,925 | -10,865 | -12,997 | -16,801 | -54,325 | -64,985 | -84,005 | -324,925 | -420,025 | -688,841 | -3,444,205 | -17,221,025 |
Here are some more numbers to try:
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