A:
Positive:
1 x 2350050255 x 4700100517 x 1382382525 x 940020185 x 2764765251 x 936275425 x 5529531255 x 1872552203 x 1066754267 x 550756275 x 3745111015 x 21335
Negative:
-1 x -235005025-5 x -47001005-17 x -13823825-25 x -9400201-85 x -2764765-251 x -936275-425 x -552953-1255 x -187255-2203 x -106675-4267 x -55075-6275 x -37451-11015 x -21335
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 235,005,025, 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 | 235,005,025 | |
| -1 | -235,005,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,005,025.
Example:
1 x 235,005,025 = 235,005,025
and
-1 x -235,005,025 = 235,005,025
Notice both answers equal 235,005,025
With that explanation out of the way, let's continue. Next, we take the number 235,005,025 and divide it by 2:
235,005,025 ÷ 2 = 117,502,512.5
If the quotient is a whole number, then 2 and 117,502,512.5 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 | 235,005,025 | |
| -1 | -235,005,025 |
Now, we try dividing 235,005,025 by 3:
235,005,025 ÷ 3 = 78,335,008.3333
If the quotient is a whole number, then 3 and 78,335,008.3333 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 | 235,005,025 | |
| -1 | -235,005,025 |
Let's try dividing by 4:
235,005,025 ÷ 4 = 58,751,256.25
If the quotient is a whole number, then 4 and 58,751,256.25 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 | 235,005,025 | |
| -1 | 235,005,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 251 | 425 | 1,255 | 2,203 | 4,267 | 6,275 | 11,015 | 21,335 | 37,451 | 55,075 | 106,675 | 187,255 | 552,953 | 936,275 | 2,764,765 | 9,400,201 | 13,823,825 | 47,001,005 | 235,005,025 |
| -1 | -5 | -17 | -25 | -85 | -251 | -425 | -1,255 | -2,203 | -4,267 | -6,275 | -11,015 | -21,335 | -37,451 | -55,075 | -106,675 | -187,255 | -552,953 | -936,275 | -2,764,765 | -9,400,201 | -13,823,825 | -47,001,005 | -235,005,025 |
Here are some more numbers to try:
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