A:
Positive:
1 x 2532537 x 3617911 x 2302313 x 1948123 x 1101177 x 328991 x 2783121 x 2093143 x 1771161 x 1573253 x 1001299 x 847
Negative:
-1 x -253253-7 x -36179-11 x -23023-13 x -19481-23 x -11011-77 x -3289-91 x -2783-121 x -2093-143 x -1771-161 x -1573-253 x -1001-299 x -847
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 253,253, 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 | 253,253 | |
| -1 | -253,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 253,253.
Example:
1 x 253,253 = 253,253
and
-1 x -253,253 = 253,253
Notice both answers equal 253,253
With that explanation out of the way, let's continue. Next, we take the number 253,253 and divide it by 2:
253,253 ÷ 2 = 126,626.5
If the quotient is a whole number, then 2 and 126,626.5 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 | 253,253 | |
| -1 | -253,253 |
Now, we try dividing 253,253 by 3:
253,253 ÷ 3 = 84,417.6667
If the quotient is a whole number, then 3 and 84,417.6667 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 | 253,253 | |
| -1 | -253,253 |
Let's try dividing by 4:
253,253 ÷ 4 = 63,313.25
If the quotient is a whole number, then 4 and 63,313.25 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 | 253,253 | |
| -1 | 253,253 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 23 | 77 | 91 | 121 | 143 | 161 | 253 | 299 | 847 | 1,001 | 1,573 | 1,771 | 2,093 | 2,783 | 3,289 | 11,011 | 19,481 | 23,023 | 36,179 | 253,253 |
| -1 | -7 | -11 | -13 | -23 | -77 | -91 | -121 | -143 | -161 | -253 | -299 | -847 | -1,001 | -1,573 | -1,771 | -2,093 | -2,783 | -3,289 | -11,011 | -19,481 | -23,023 | -36,179 | -253,253 |
Here are some more numbers to try:
Try the factor calculator