A:
Positive:
1 x 4560255 x 9120517 x 2682525 x 1824129 x 1572537 x 1232585 x 5365145 x 3145185 x 2465425 x 1073493 x 925629 x 725
Negative:
-1 x -456025-5 x -91205-17 x -26825-25 x -18241-29 x -15725-37 x -12325-85 x -5365-145 x -3145-185 x -2465-425 x -1073-493 x -925-629 x -725
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 456,025, 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 | 456,025 | |
| -1 | -456,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 456,025.
Example:
1 x 456,025 = 456,025
and
-1 x -456,025 = 456,025
Notice both answers equal 456,025
With that explanation out of the way, let's continue. Next, we take the number 456,025 and divide it by 2:
456,025 ÷ 2 = 228,012.5
If the quotient is a whole number, then 2 and 228,012.5 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 | 456,025 | |
| -1 | -456,025 |
Now, we try dividing 456,025 by 3:
456,025 ÷ 3 = 152,008.3333
If the quotient is a whole number, then 3 and 152,008.3333 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 | 456,025 | |
| -1 | -456,025 |
Let's try dividing by 4:
456,025 ÷ 4 = 114,006.25
If the quotient is a whole number, then 4 and 114,006.25 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 | 456,025 | |
| -1 | 456,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 29 | 37 | 85 | 145 | 185 | 425 | 493 | 629 | 725 | 925 | 1,073 | 2,465 | 3,145 | 5,365 | 12,325 | 15,725 | 18,241 | 26,825 | 91,205 | 456,025 |
| -1 | -5 | -17 | -25 | -29 | -37 | -85 | -145 | -185 | -425 | -493 | -629 | -725 | -925 | -1,073 | -2,465 | -3,145 | -5,365 | -12,325 | -15,725 | -18,241 | -26,825 | -91,205 | -456,025 |
Here are some more numbers to try:
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