A:
Positive:
1 x 232755 x 46557 x 332519 x 122525 x 93135 x 66549 x 47595 x 245133 x 175
Negative:
-1 x -23275-5 x -4655-7 x -3325-19 x -1225-25 x -931-35 x -665-49 x -475-95 x -245-133 x -175
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 23,275, 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 | 23,275 | |
| -1 | -23,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,275.
Example:
1 x 23,275 = 23,275
and
-1 x -23,275 = 23,275
Notice both answers equal 23,275
With that explanation out of the way, let's continue. Next, we take the number 23,275 and divide it by 2:
23,275 ÷ 2 = 11,637.5
If the quotient is a whole number, then 2 and 11,637.5 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 | 23,275 | |
| -1 | -23,275 |
Now, we try dividing 23,275 by 3:
23,275 ÷ 3 = 7,758.3333
If the quotient is a whole number, then 3 and 7,758.3333 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 | 23,275 | |
| -1 | -23,275 |
Let's try dividing by 4:
23,275 ÷ 4 = 5,818.75
If the quotient is a whole number, then 4 and 5,818.75 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 | 23,275 | |
| -1 | 23,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 19 | 25 | 35 | 49 | 95 | 133 | 175 | 245 | 475 | 665 | 931 | 1,225 | 3,325 | 4,655 | 23,275 |
| -1 | -5 | -7 | -19 | -25 | -35 | -49 | -95 | -133 | -175 | -245 | -475 | -665 | -931 | -1,225 | -3,325 | -4,655 | -23,275 |
Here are some more numbers to try:
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