A:
Positive:
1 x 6826755 x 1365357 x 9752525 x 2730735 x 1950547 x 1452583 x 8225175 x 3901235 x 2905329 x 2075415 x 1645581 x 1175
Negative:
-1 x -682675-5 x -136535-7 x -97525-25 x -27307-35 x -19505-47 x -14525-83 x -8225-175 x -3901-235 x -2905-329 x -2075-415 x -1645-581 x -1175
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 682,675, 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 | 682,675 | |
| -1 | -682,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 682,675.
Example:
1 x 682,675 = 682,675
and
-1 x -682,675 = 682,675
Notice both answers equal 682,675
With that explanation out of the way, let's continue. Next, we take the number 682,675 and divide it by 2:
682,675 ÷ 2 = 341,337.5
If the quotient is a whole number, then 2 and 341,337.5 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 | 682,675 | |
| -1 | -682,675 |
Now, we try dividing 682,675 by 3:
682,675 ÷ 3 = 227,558.3333
If the quotient is a whole number, then 3 and 227,558.3333 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 | 682,675 | |
| -1 | -682,675 |
Let's try dividing by 4:
682,675 ÷ 4 = 170,668.75
If the quotient is a whole number, then 4 and 170,668.75 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 | 682,675 | |
| -1 | 682,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 47 | 83 | 175 | 235 | 329 | 415 | 581 | 1,175 | 1,645 | 2,075 | 2,905 | 3,901 | 8,225 | 14,525 | 19,505 | 27,307 | 97,525 | 136,535 | 682,675 |
| -1 | -5 | -7 | -25 | -35 | -47 | -83 | -175 | -235 | -329 | -415 | -581 | -1,175 | -1,645 | -2,075 | -2,905 | -3,901 | -8,225 | -14,525 | -19,505 | -27,307 | -97,525 | -136,535 | -682,675 |
Here are some more numbers to try:
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