A:
Positive:
1 x 1666989317 x 2381413329 x 574823949 x 340201973 x 2283547203 x 821177511 x 3262211421 x 1173111607 x 1037332117 x 787433577 x 4660311249 x 14819
Negative:
-1 x -166698931-7 x -23814133-29 x -5748239-49 x -3402019-73 x -2283547-203 x -821177-511 x -326221-1421 x -117311-1607 x -103733-2117 x -78743-3577 x -46603-11249 x -14819
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 166,698,931, 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 | 166,698,931 | |
| -1 | -166,698,931 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 166,698,931.
Example:
1 x 166,698,931 = 166,698,931
and
-1 x -166,698,931 = 166,698,931
Notice both answers equal 166,698,931
With that explanation out of the way, let's continue. Next, we take the number 166,698,931 and divide it by 2:
166,698,931 ÷ 2 = 83,349,465.5
If the quotient is a whole number, then 2 and 83,349,465.5 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 | 166,698,931 | |
| -1 | -166,698,931 |
Now, we try dividing 166,698,931 by 3:
166,698,931 ÷ 3 = 55,566,310.3333
If the quotient is a whole number, then 3 and 55,566,310.3333 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 | 166,698,931 | |
| -1 | -166,698,931 |
Let's try dividing by 4:
166,698,931 ÷ 4 = 41,674,732.75
If the quotient is a whole number, then 4 and 41,674,732.75 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 | 166,698,931 | |
| -1 | 166,698,931 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 49 | 73 | 203 | 511 | 1,421 | 1,607 | 2,117 | 3,577 | 11,249 | 14,819 | 46,603 | 78,743 | 103,733 | 117,311 | 326,221 | 821,177 | 2,283,547 | 3,402,019 | 5,748,239 | 23,814,133 | 166,698,931 |
| -1 | -7 | -29 | -49 | -73 | -203 | -511 | -1,421 | -1,607 | -2,117 | -3,577 | -11,249 | -14,819 | -46,603 | -78,743 | -103,733 | -117,311 | -326,221 | -821,177 | -2,283,547 | -3,402,019 | -5,748,239 | -23,814,133 | -166,698,931 |
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