A:
Positive:
1 x 442755 x 88557 x 632511 x 402523 x 192525 x 177135 x 126555 x 80577 x 575115 x 385161 x 275175 x 253
Negative:
-1 x -44275-5 x -8855-7 x -6325-11 x -4025-23 x -1925-25 x -1771-35 x -1265-55 x -805-77 x -575-115 x -385-161 x -275-175 x -253
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 44,275, 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 | 44,275 | |
| -1 | -44,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,275.
Example:
1 x 44,275 = 44,275
and
-1 x -44,275 = 44,275
Notice both answers equal 44,275
With that explanation out of the way, let's continue. Next, we take the number 44,275 and divide it by 2:
44,275 ÷ 2 = 22,137.5
If the quotient is a whole number, then 2 and 22,137.5 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 | 44,275 | |
| -1 | -44,275 |
Now, we try dividing 44,275 by 3:
44,275 ÷ 3 = 14,758.3333
If the quotient is a whole number, then 3 and 14,758.3333 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 | 44,275 | |
| -1 | -44,275 |
Let's try dividing by 4:
44,275 ÷ 4 = 11,068.75
If the quotient is a whole number, then 4 and 11,068.75 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 | 44,275 | |
| -1 | 44,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 23 | 25 | 35 | 55 | 77 | 115 | 161 | 175 | 253 | 275 | 385 | 575 | 805 | 1,265 | 1,771 | 1,925 | 4,025 | 6,325 | 8,855 | 44,275 |
| -1 | -5 | -7 | -11 | -23 | -25 | -35 | -55 | -77 | -115 | -161 | -175 | -253 | -275 | -385 | -575 | -805 | -1,265 | -1,771 | -1,925 | -4,025 | -6,325 | -8,855 | -44,275 |
Here are some more numbers to try:
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