A:
Positive:
1 x 2510001255 x 5020002525 x 10040005125 x 2008001569 x 4411252845 x 882253529 x 7112514225 x 17645
Negative:
-1 x -251000125-5 x -50200025-25 x -10040005-125 x -2008001-569 x -441125-2845 x -88225-3529 x -71125-14225 x -17645
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 251,000,125, 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 | 251,000,125 | |
| -1 | -251,000,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,000,125.
Example:
1 x 251,000,125 = 251,000,125
and
-1 x -251,000,125 = 251,000,125
Notice both answers equal 251,000,125
With that explanation out of the way, let's continue. Next, we take the number 251,000,125 and divide it by 2:
251,000,125 ÷ 2 = 125,500,062.5
If the quotient is a whole number, then 2 and 125,500,062.5 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 | 251,000,125 | |
| -1 | -251,000,125 |
Now, we try dividing 251,000,125 by 3:
251,000,125 ÷ 3 = 83,666,708.3333
If the quotient is a whole number, then 3 and 83,666,708.3333 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 | 251,000,125 | |
| -1 | -251,000,125 |
Let's try dividing by 4:
251,000,125 ÷ 4 = 62,750,031.25
If the quotient is a whole number, then 4 and 62,750,031.25 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 | 251,000,125 | |
| -1 | 251,000,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 569 | 2,845 | 3,529 | 14,225 | 17,645 | 71,125 | 88,225 | 441,125 | 2,008,001 | 10,040,005 | 50,200,025 | 251,000,125 |
| -1 | -5 | -25 | -125 | -569 | -2,845 | -3,529 | -14,225 | -17,645 | -71,125 | -88,225 | -441,125 | -2,008,001 | -10,040,005 | -50,200,025 | -251,000,125 |
Here are some more numbers to try:
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