A:
Positive:
1 x 4130755 x 8261513 x 3177525 x 1652331 x 1332541 x 1007565 x 6355155 x 2665205 x 2015325 x 1271403 x 1025533 x 775
Negative:
-1 x -413075-5 x -82615-13 x -31775-25 x -16523-31 x -13325-41 x -10075-65 x -6355-155 x -2665-205 x -2015-325 x -1271-403 x -1025-533 x -775
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 413,075, 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 | 413,075 | |
| -1 | -413,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,075.
Example:
1 x 413,075 = 413,075
and
-1 x -413,075 = 413,075
Notice both answers equal 413,075
With that explanation out of the way, let's continue. Next, we take the number 413,075 and divide it by 2:
413,075 ÷ 2 = 206,537.5
If the quotient is a whole number, then 2 and 206,537.5 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 | 413,075 | |
| -1 | -413,075 |
Now, we try dividing 413,075 by 3:
413,075 ÷ 3 = 137,691.6667
If the quotient is a whole number, then 3 and 137,691.6667 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 | 413,075 | |
| -1 | -413,075 |
Let's try dividing by 4:
413,075 ÷ 4 = 103,268.75
If the quotient is a whole number, then 4 and 103,268.75 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 | 413,075 | |
| -1 | 413,075 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 31 | 41 | 65 | 155 | 205 | 325 | 403 | 533 | 775 | 1,025 | 1,271 | 2,015 | 2,665 | 6,355 | 10,075 | 13,325 | 16,523 | 31,775 | 82,615 | 413,075 |
| -1 | -5 | -13 | -25 | -31 | -41 | -65 | -155 | -205 | -325 | -403 | -533 | -775 | -1,025 | -1,271 | -2,015 | -2,665 | -6,355 | -10,075 | -13,325 | -16,523 | -31,775 | -82,615 | -413,075 |
Here are some more numbers to try:
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