A:
Positive:
1 x 659755 x 131957 x 942513 x 507525 x 263929 x 227535 x 188565 x 101591 x 725145 x 455175 x 377203 x 325
Negative:
-1 x -65975-5 x -13195-7 x -9425-13 x -5075-25 x -2639-29 x -2275-35 x -1885-65 x -1015-91 x -725-145 x -455-175 x -377-203 x -325
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 65,975, 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 | 65,975 | |
| -1 | -65,975 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 65,975.
Example:
1 x 65,975 = 65,975
and
-1 x -65,975 = 65,975
Notice both answers equal 65,975
With that explanation out of the way, let's continue. Next, we take the number 65,975 and divide it by 2:
65,975 ÷ 2 = 32,987.5
If the quotient is a whole number, then 2 and 32,987.5 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 | 65,975 | |
| -1 | -65,975 |
Now, we try dividing 65,975 by 3:
65,975 ÷ 3 = 21,991.6667
If the quotient is a whole number, then 3 and 21,991.6667 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 | 65,975 | |
| -1 | -65,975 |
Let's try dividing by 4:
65,975 ÷ 4 = 16,493.75
If the quotient is a whole number, then 4 and 16,493.75 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 | 65,975 | |
| -1 | 65,975 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 25 | 29 | 35 | 65 | 91 | 145 | 175 | 203 | 325 | 377 | 455 | 725 | 1,015 | 1,885 | 2,275 | 2,639 | 5,075 | 9,425 | 13,195 | 65,975 |
| -1 | -5 | -7 | -13 | -25 | -29 | -35 | -65 | -91 | -145 | -175 | -203 | -325 | -377 | -455 | -725 | -1,015 | -1,885 | -2,275 | -2,639 | -5,075 | -9,425 | -13,195 | -65,975 |
Here are some more numbers to try:
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