A:
Positive:
1 x 70008255 x 140016513 x 53852525 x 28003365 x 107705169 x 41425325 x 21541845 x 82851657 x 4225
Negative:
-1 x -7000825-5 x -1400165-13 x -538525-25 x -280033-65 x -107705-169 x -41425-325 x -21541-845 x -8285-1657 x -4225
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 7,000,825, 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 | 7,000,825 | |
| -1 | -7,000,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,000,825.
Example:
1 x 7,000,825 = 7,000,825
and
-1 x -7,000,825 = 7,000,825
Notice both answers equal 7,000,825
With that explanation out of the way, let's continue. Next, we take the number 7,000,825 and divide it by 2:
7,000,825 ÷ 2 = 3,500,412.5
If the quotient is a whole number, then 2 and 3,500,412.5 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 | 7,000,825 | |
| -1 | -7,000,825 |
Now, we try dividing 7,000,825 by 3:
7,000,825 ÷ 3 = 2,333,608.3333
If the quotient is a whole number, then 3 and 2,333,608.3333 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 | 7,000,825 | |
| -1 | -7,000,825 |
Let's try dividing by 4:
7,000,825 ÷ 4 = 1,750,206.25
If the quotient is a whole number, then 4 and 1,750,206.25 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 | 7,000,825 | |
| -1 | 7,000,825 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 169 | 325 | 845 | 1,657 | 4,225 | 8,285 | 21,541 | 41,425 | 107,705 | 280,033 | 538,525 | 1,400,165 | 7,000,825 |
| -1 | -5 | -13 | -25 | -65 | -169 | -325 | -845 | -1,657 | -4,225 | -8,285 | -21,541 | -41,425 | -107,705 | -280,033 | -538,525 | -1,400,165 | -7,000,825 |
Here are some more numbers to try:
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