A:
Positive:
1 x 53106255 x 106212525 x 21242529 x 183125125 x 42485145 x 36625293 x 18125625 x 8497725 x 73251465 x 3625
Negative:
-1 x -5310625-5 x -1062125-25 x -212425-29 x -183125-125 x -42485-145 x -36625-293 x -18125-625 x -8497-725 x -7325-1465 x -3625
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 5,310,625, 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 | 5,310,625 | |
| -1 | -5,310,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,310,625.
Example:
1 x 5,310,625 = 5,310,625
and
-1 x -5,310,625 = 5,310,625
Notice both answers equal 5,310,625
With that explanation out of the way, let's continue. Next, we take the number 5,310,625 and divide it by 2:
5,310,625 ÷ 2 = 2,655,312.5
If the quotient is a whole number, then 2 and 2,655,312.5 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 | 5,310,625 | |
| -1 | -5,310,625 |
Now, we try dividing 5,310,625 by 3:
5,310,625 ÷ 3 = 1,770,208.3333
If the quotient is a whole number, then 3 and 1,770,208.3333 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 | 5,310,625 | |
| -1 | -5,310,625 |
Let's try dividing by 4:
5,310,625 ÷ 4 = 1,327,656.25
If the quotient is a whole number, then 4 and 1,327,656.25 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 | 5,310,625 | |
| -1 | 5,310,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 125 | 145 | 293 | 625 | 725 | 1,465 | 3,625 | 7,325 | 8,497 | 18,125 | 36,625 | 42,485 | 183,125 | 212,425 | 1,062,125 | 5,310,625 |
| -1 | -5 | -25 | -29 | -125 | -145 | -293 | -625 | -725 | -1,465 | -3,625 | -7,325 | -8,497 | -18,125 | -36,625 | -42,485 | -183,125 | -212,425 | -1,062,125 | -5,310,625 |
Here are some more numbers to try:
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