A:
Positive:
1 x 77001255 x 154002525 x 308005125 x 61601229 x 33625269 x 286251145 x 67251345 x 5725
Negative:
-1 x -7700125-5 x -1540025-25 x -308005-125 x -61601-229 x -33625-269 x -28625-1145 x -6725-1345 x -5725
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 7,700,125, 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 | 7,700,125 | |
| -1 | -7,700,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,700,125.
Example:
1 x 7,700,125 = 7,700,125
and
-1 x -7,700,125 = 7,700,125
Notice both answers equal 7,700,125
With that explanation out of the way, let's continue. Next, we take the number 7,700,125 and divide it by 2:
7,700,125 ÷ 2 = 3,850,062.5
If the quotient is a whole number, then 2 and 3,850,062.5 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 | 7,700,125 | |
| -1 | -7,700,125 |
Now, we try dividing 7,700,125 by 3:
7,700,125 ÷ 3 = 2,566,708.3333
If the quotient is a whole number, then 3 and 2,566,708.3333 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 | 7,700,125 | |
| -1 | -7,700,125 |
Let's try dividing by 4:
7,700,125 ÷ 4 = 1,925,031.25
If the quotient is a whole number, then 4 and 1,925,031.25 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 | 7,700,125 | |
| -1 | 7,700,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 229 | 269 | 1,145 | 1,345 | 5,725 | 6,725 | 28,625 | 33,625 | 61,601 | 308,005 | 1,540,025 | 7,700,125 |
| -1 | -5 | -25 | -125 | -229 | -269 | -1,145 | -1,345 | -5,725 | -6,725 | -28,625 | -33,625 | -61,601 | -308,005 | -1,540,025 | -7,700,125 |
Here are some more numbers to try:
Try the factor calculator