A:
Positive:
1 x 2731755 x 546357 x 3902525 x 1092735 x 780549 x 5575175 x 1561223 x 1225245 x 1115
Negative:
-1 x -273175-5 x -54635-7 x -39025-25 x -10927-35 x -7805-49 x -5575-175 x -1561-223 x -1225-245 x -1115
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 273,175, 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 | 273,175 | |
| -1 | -273,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 273,175.
Example:
1 x 273,175 = 273,175
and
-1 x -273,175 = 273,175
Notice both answers equal 273,175
With that explanation out of the way, let's continue. Next, we take the number 273,175 and divide it by 2:
273,175 ÷ 2 = 136,587.5
If the quotient is a whole number, then 2 and 136,587.5 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 | 273,175 | |
| -1 | -273,175 |
Now, we try dividing 273,175 by 3:
273,175 ÷ 3 = 91,058.3333
If the quotient is a whole number, then 3 and 91,058.3333 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 | 273,175 | |
| -1 | -273,175 |
Let's try dividing by 4:
273,175 ÷ 4 = 68,293.75
If the quotient is a whole number, then 4 and 68,293.75 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 | 273,175 | |
| -1 | 273,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 223 | 245 | 1,115 | 1,225 | 1,561 | 5,575 | 7,805 | 10,927 | 39,025 | 54,635 | 273,175 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -223 | -245 | -1,115 | -1,225 | -1,561 | -5,575 | -7,805 | -10,927 | -39,025 | -54,635 | -273,175 |
Here are some more numbers to try:
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