A:
Positive:
1 x 46030255 x 9206057 x 65757525 x 18412129 x 15872535 x 131515145 x 31745175 x 26303203 x 22675725 x 6349907 x 50751015 x 4535
Negative:
-1 x -4603025-5 x -920605-7 x -657575-25 x -184121-29 x -158725-35 x -131515-145 x -31745-175 x -26303-203 x -22675-725 x -6349-907 x -5075-1015 x -4535
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 4,603,025, 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 | 4,603,025 | |
| -1 | -4,603,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,603,025.
Example:
1 x 4,603,025 = 4,603,025
and
-1 x -4,603,025 = 4,603,025
Notice both answers equal 4,603,025
With that explanation out of the way, let's continue. Next, we take the number 4,603,025 and divide it by 2:
4,603,025 ÷ 2 = 2,301,512.5
If the quotient is a whole number, then 2 and 2,301,512.5 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 | 4,603,025 | |
| -1 | -4,603,025 |
Now, we try dividing 4,603,025 by 3:
4,603,025 ÷ 3 = 1,534,341.6667
If the quotient is a whole number, then 3 and 1,534,341.6667 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 | 4,603,025 | |
| -1 | -4,603,025 |
Let's try dividing by 4:
4,603,025 ÷ 4 = 1,150,756.25
If the quotient is a whole number, then 4 and 1,150,756.25 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 | 4,603,025 | |
| -1 | 4,603,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 29 | 35 | 145 | 175 | 203 | 725 | 907 | 1,015 | 4,535 | 5,075 | 6,349 | 22,675 | 26,303 | 31,745 | 131,515 | 158,725 | 184,121 | 657,575 | 920,605 | 4,603,025 |
| -1 | -5 | -7 | -25 | -29 | -35 | -145 | -175 | -203 | -725 | -907 | -1,015 | -4,535 | -5,075 | -6,349 | -22,675 | -26,303 | -31,745 | -131,515 | -158,725 | -184,121 | -657,575 | -920,605 | -4,603,025 |
Here are some more numbers to try:
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