A:
Positive:
1 x 7271755 x 14543517 x 4277525 x 2908729 x 2507559 x 1232585 x 8555145 x 5015295 x 2465425 x 1711493 x 1475725 x 1003
Negative:
-1 x -727175-5 x -145435-17 x -42775-25 x -29087-29 x -25075-59 x -12325-85 x -8555-145 x -5015-295 x -2465-425 x -1711-493 x -1475-725 x -1003
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 727,175, 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 | 727,175 | |
| -1 | -727,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 727,175.
Example:
1 x 727,175 = 727,175
and
-1 x -727,175 = 727,175
Notice both answers equal 727,175
With that explanation out of the way, let's continue. Next, we take the number 727,175 and divide it by 2:
727,175 ÷ 2 = 363,587.5
If the quotient is a whole number, then 2 and 363,587.5 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 | 727,175 | |
| -1 | -727,175 |
Now, we try dividing 727,175 by 3:
727,175 ÷ 3 = 242,391.6667
If the quotient is a whole number, then 3 and 242,391.6667 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 | 727,175 | |
| -1 | -727,175 |
Let's try dividing by 4:
727,175 ÷ 4 = 181,793.75
If the quotient is a whole number, then 4 and 181,793.75 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 | 727,175 | |
| -1 | 727,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 29 | 59 | 85 | 145 | 295 | 425 | 493 | 725 | 1,003 | 1,475 | 1,711 | 2,465 | 5,015 | 8,555 | 12,325 | 25,075 | 29,087 | 42,775 | 145,435 | 727,175 |
| -1 | -5 | -17 | -25 | -29 | -59 | -85 | -145 | -295 | -425 | -493 | -725 | -1,003 | -1,475 | -1,711 | -2,465 | -5,015 | -8,555 | -12,325 | -25,075 | -29,087 | -42,775 | -145,435 | -727,175 |
Here are some more numbers to try:
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