A:
Positive:
1 x 253501255 x 507002525 x 1014005125 x 202801139 x 182375695 x 364751459 x 173753475 x 7295
Negative:
-1 x -25350125-5 x -5070025-25 x -1014005-125 x -202801-139 x -182375-695 x -36475-1459 x -17375-3475 x -7295
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 25,350,125, 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 | 25,350,125 | |
| -1 | -25,350,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,350,125.
Example:
1 x 25,350,125 = 25,350,125
and
-1 x -25,350,125 = 25,350,125
Notice both answers equal 25,350,125
With that explanation out of the way, let's continue. Next, we take the number 25,350,125 and divide it by 2:
25,350,125 ÷ 2 = 12,675,062.5
If the quotient is a whole number, then 2 and 12,675,062.5 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 | 25,350,125 | |
| -1 | -25,350,125 |
Now, we try dividing 25,350,125 by 3:
25,350,125 ÷ 3 = 8,450,041.6667
If the quotient is a whole number, then 3 and 8,450,041.6667 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 | 25,350,125 | |
| -1 | -25,350,125 |
Let's try dividing by 4:
25,350,125 ÷ 4 = 6,337,531.25
If the quotient is a whole number, then 4 and 6,337,531.25 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 | 25,350,125 | |
| -1 | 25,350,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 139 | 695 | 1,459 | 3,475 | 7,295 | 17,375 | 36,475 | 182,375 | 202,801 | 1,014,005 | 5,070,025 | 25,350,125 |
| -1 | -5 | -25 | -125 | -139 | -695 | -1,459 | -3,475 | -7,295 | -17,375 | -36,475 | -182,375 | -202,801 | -1,014,005 | -5,070,025 | -25,350,125 |
Here are some more numbers to try:
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