A:
Positive:
1 x 257241255 x 51448257 x 367487525 x 102896535 x 734975125 x 205793175 x 146995875 x 29399
Negative:
-1 x -25724125-5 x -5144825-7 x -3674875-25 x -1028965-35 x -734975-125 x -205793-175 x -146995-875 x -29399
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 25,724,125, 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 | 25,724,125 | |
| -1 | -25,724,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,724,125.
Example:
1 x 25,724,125 = 25,724,125
and
-1 x -25,724,125 = 25,724,125
Notice both answers equal 25,724,125
With that explanation out of the way, let's continue. Next, we take the number 25,724,125 and divide it by 2:
25,724,125 ÷ 2 = 12,862,062.5
If the quotient is a whole number, then 2 and 12,862,062.5 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 | 25,724,125 | |
| -1 | -25,724,125 |
Now, we try dividing 25,724,125 by 3:
25,724,125 ÷ 3 = 8,574,708.3333
If the quotient is a whole number, then 3 and 8,574,708.3333 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 | 25,724,125 | |
| -1 | -25,724,125 |
Let's try dividing by 4:
25,724,125 ÷ 4 = 6,431,031.25
If the quotient is a whole number, then 4 and 6,431,031.25 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 | 25,724,125 | |
| -1 | 25,724,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 125 | 175 | 875 | 29,399 | 146,995 | 205,793 | 734,975 | 1,028,965 | 3,674,875 | 5,144,825 | 25,724,125 |
| -1 | -5 | -7 | -25 | -35 | -125 | -175 | -875 | -29,399 | -146,995 | -205,793 | -734,975 | -1,028,965 | -3,674,875 | -5,144,825 | -25,724,125 |
Here are some more numbers to try:
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