A:
Positive:
1 x 1661130255 x 3322260513 x 1277792525 x 664452159 x 281547565 x 2555585295 x 563095325 x 511117767 x 2165751475 x 1126193835 x 433158663 x 19175
Negative:
-1 x -166113025-5 x -33222605-13 x -12777925-25 x -6644521-59 x -2815475-65 x -2555585-295 x -563095-325 x -511117-767 x -216575-1475 x -112619-3835 x -43315-8663 x -19175
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 166,113,025, 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 | 166,113,025 | |
| -1 | -166,113,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 166,113,025.
Example:
1 x 166,113,025 = 166,113,025
and
-1 x -166,113,025 = 166,113,025
Notice both answers equal 166,113,025
With that explanation out of the way, let's continue. Next, we take the number 166,113,025 and divide it by 2:
166,113,025 ÷ 2 = 83,056,512.5
If the quotient is a whole number, then 2 and 83,056,512.5 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 | 166,113,025 | |
| -1 | -166,113,025 |
Now, we try dividing 166,113,025 by 3:
166,113,025 ÷ 3 = 55,371,008.3333
If the quotient is a whole number, then 3 and 55,371,008.3333 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 | 166,113,025 | |
| -1 | -166,113,025 |
Let's try dividing by 4:
166,113,025 ÷ 4 = 41,528,256.25
If the quotient is a whole number, then 4 and 41,528,256.25 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 | 166,113,025 | |
| -1 | 166,113,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 59 | 65 | 295 | 325 | 767 | 1,475 | 3,835 | 8,663 | 19,175 | 43,315 | 112,619 | 216,575 | 511,117 | 563,095 | 2,555,585 | 2,815,475 | 6,644,521 | 12,777,925 | 33,222,605 | 166,113,025 |
| -1 | -5 | -13 | -25 | -59 | -65 | -295 | -325 | -767 | -1,475 | -3,835 | -8,663 | -19,175 | -43,315 | -112,619 | -216,575 | -511,117 | -563,095 | -2,555,585 | -2,815,475 | -6,644,521 | -12,777,925 | -33,222,605 | -166,113,025 |
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