A:
Positive:
1 x 7271117 x 10387311 x 6610119 x 3826949 x 1483971 x 1024177 x 9443133 x 5467209 x 3479497 x 1463539 x 1349781 x 931
Negative:
-1 x -727111-7 x -103873-11 x -66101-19 x -38269-49 x -14839-71 x -10241-77 x -9443-133 x -5467-209 x -3479-497 x -1463-539 x -1349-781 x -931
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 727,111, 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 | 727,111 | |
| -1 | -727,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 727,111.
Example:
1 x 727,111 = 727,111
and
-1 x -727,111 = 727,111
Notice both answers equal 727,111
With that explanation out of the way, let's continue. Next, we take the number 727,111 and divide it by 2:
727,111 ÷ 2 = 363,555.5
If the quotient is a whole number, then 2 and 363,555.5 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 | 727,111 | |
| -1 | -727,111 |
Now, we try dividing 727,111 by 3:
727,111 ÷ 3 = 242,370.3333
If the quotient is a whole number, then 3 and 242,370.3333 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 | 727,111 | |
| -1 | -727,111 |
Let's try dividing by 4:
727,111 ÷ 4 = 181,777.75
If the quotient is a whole number, then 4 and 181,777.75 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 | 727,111 | |
| -1 | 727,111 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 19 | 49 | 71 | 77 | 133 | 209 | 497 | 539 | 781 | 931 | 1,349 | 1,463 | 3,479 | 5,467 | 9,443 | 10,241 | 14,839 | 38,269 | 66,101 | 103,873 | 727,111 |
| -1 | -7 | -11 | -19 | -49 | -71 | -77 | -133 | -209 | -497 | -539 | -781 | -931 | -1,349 | -1,463 | -3,479 | -5,467 | -9,443 | -10,241 | -14,839 | -38,269 | -66,101 | -103,873 | -727,111 |
Here are some more numbers to try:
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