A:
Positive:
1 x 23537217119 x 1238800971 x 3315101149 x 15796791171 x 2010011349 x 1744792831 x 8314110579 x 22249
Negative:
-1 x -235372171-19 x -12388009-71 x -3315101-149 x -1579679-1171 x -201001-1349 x -174479-2831 x -83141-10579 x -22249
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 235,372,171, 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 | 235,372,171 | |
| -1 | -235,372,171 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,372,171.
Example:
1 x 235,372,171 = 235,372,171
and
-1 x -235,372,171 = 235,372,171
Notice both answers equal 235,372,171
With that explanation out of the way, let's continue. Next, we take the number 235,372,171 and divide it by 2:
235,372,171 ÷ 2 = 117,686,085.5
If the quotient is a whole number, then 2 and 117,686,085.5 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 | 235,372,171 | |
| -1 | -235,372,171 |
Now, we try dividing 235,372,171 by 3:
235,372,171 ÷ 3 = 78,457,390.3333
If the quotient is a whole number, then 3 and 78,457,390.3333 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 | 235,372,171 | |
| -1 | -235,372,171 |
Let's try dividing by 4:
235,372,171 ÷ 4 = 58,843,042.75
If the quotient is a whole number, then 4 and 58,843,042.75 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 | 235,372,171 | |
| -1 | 235,372,171 |
If you did it right, you will end up with this table:
| 1 | 19 | 71 | 149 | 1,171 | 1,349 | 2,831 | 10,579 | 22,249 | 83,141 | 174,479 | 201,001 | 1,579,679 | 3,315,101 | 12,388,009 | 235,372,171 |
| -1 | -19 | -71 | -149 | -1,171 | -1,349 | -2,831 | -10,579 | -22,249 | -83,141 | -174,479 | -201,001 | -1,579,679 | -3,315,101 | -12,388,009 | -235,372,171 |
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