A:
Positive:
1 x 250051755 x 500103513 x 192347525 x 100020747 x 53202565 x 384695235 x 106405325 x 76939611 x 409251175 x 212811637 x 152753055 x 8185
Negative:
-1 x -25005175-5 x -5001035-13 x -1923475-25 x -1000207-47 x -532025-65 x -384695-235 x -106405-325 x -76939-611 x -40925-1175 x -21281-1637 x -15275-3055 x -8185
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 25,005,175, 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 | 25,005,175 | |
| -1 | -25,005,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,005,175.
Example:
1 x 25,005,175 = 25,005,175
and
-1 x -25,005,175 = 25,005,175
Notice both answers equal 25,005,175
With that explanation out of the way, let's continue. Next, we take the number 25,005,175 and divide it by 2:
25,005,175 ÷ 2 = 12,502,587.5
If the quotient is a whole number, then 2 and 12,502,587.5 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 | 25,005,175 | |
| -1 | -25,005,175 |
Now, we try dividing 25,005,175 by 3:
25,005,175 ÷ 3 = 8,335,058.3333
If the quotient is a whole number, then 3 and 8,335,058.3333 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 | 25,005,175 | |
| -1 | -25,005,175 |
Let's try dividing by 4:
25,005,175 ÷ 4 = 6,251,293.75
If the quotient is a whole number, then 4 and 6,251,293.75 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 | 25,005,175 | |
| -1 | 25,005,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 47 | 65 | 235 | 325 | 611 | 1,175 | 1,637 | 3,055 | 8,185 | 15,275 | 21,281 | 40,925 | 76,939 | 106,405 | 384,695 | 532,025 | 1,000,207 | 1,923,475 | 5,001,035 | 25,005,175 |
| -1 | -5 | -13 | -25 | -47 | -65 | -235 | -325 | -611 | -1,175 | -1,637 | -3,055 | -8,185 | -15,275 | -21,281 | -40,925 | -76,939 | -106,405 | -384,695 | -532,025 | -1,000,207 | -1,923,475 | -5,001,035 | -25,005,175 |
Here are some more numbers to try:
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