A:
Positive:
1 x 1650255 x 330057 x 2357523 x 717525 x 660135 x 471541 x 4025115 x 1435161 x 1025175 x 943205 x 805287 x 575
Negative:
-1 x -165025-5 x -33005-7 x -23575-23 x -7175-25 x -6601-35 x -4715-41 x -4025-115 x -1435-161 x -1025-175 x -943-205 x -805-287 x -575
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 165,025, 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 | 165,025 | |
| -1 | -165,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 165,025.
Example:
1 x 165,025 = 165,025
and
-1 x -165,025 = 165,025
Notice both answers equal 165,025
With that explanation out of the way, let's continue. Next, we take the number 165,025 and divide it by 2:
165,025 ÷ 2 = 82,512.5
If the quotient is a whole number, then 2 and 82,512.5 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 | 165,025 | |
| -1 | -165,025 |
Now, we try dividing 165,025 by 3:
165,025 ÷ 3 = 55,008.3333
If the quotient is a whole number, then 3 and 55,008.3333 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 | 165,025 | |
| -1 | -165,025 |
Let's try dividing by 4:
165,025 ÷ 4 = 41,256.25
If the quotient is a whole number, then 4 and 41,256.25 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 | 165,025 | |
| -1 | 165,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 23 | 25 | 35 | 41 | 115 | 161 | 175 | 205 | 287 | 575 | 805 | 943 | 1,025 | 1,435 | 4,025 | 4,715 | 6,601 | 7,175 | 23,575 | 33,005 | 165,025 |
| -1 | -5 | -7 | -23 | -25 | -35 | -41 | -115 | -161 | -175 | -205 | -287 | -575 | -805 | -943 | -1,025 | -1,435 | -4,025 | -4,715 | -6,601 | -7,175 | -23,575 | -33,005 | -165,025 |
Here are some more numbers to try:
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