A:
Positive:
1 x 742750255 x 1485500511 x 675227525 x 297100155 x 1350455163 x 455675275 x 270091815 x 911351657 x 448251793 x 414254075 x 182278285 x 8965
Negative:
-1 x -74275025-5 x -14855005-11 x -6752275-25 x -2971001-55 x -1350455-163 x -455675-275 x -270091-815 x -91135-1657 x -44825-1793 x -41425-4075 x -18227-8285 x -8965
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 74,275,025, 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 | 74,275,025 | |
| -1 | -74,275,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 74,275,025.
Example:
1 x 74,275,025 = 74,275,025
and
-1 x -74,275,025 = 74,275,025
Notice both answers equal 74,275,025
With that explanation out of the way, let's continue. Next, we take the number 74,275,025 and divide it by 2:
74,275,025 ÷ 2 = 37,137,512.5
If the quotient is a whole number, then 2 and 37,137,512.5 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 | 74,275,025 | |
| -1 | -74,275,025 |
Now, we try dividing 74,275,025 by 3:
74,275,025 ÷ 3 = 24,758,341.6667
If the quotient is a whole number, then 3 and 24,758,341.6667 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 | 74,275,025 | |
| -1 | -74,275,025 |
Let's try dividing by 4:
74,275,025 ÷ 4 = 18,568,756.25
If the quotient is a whole number, then 4 and 18,568,756.25 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 | 74,275,025 | |
| -1 | 74,275,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 163 | 275 | 815 | 1,657 | 1,793 | 4,075 | 8,285 | 8,965 | 18,227 | 41,425 | 44,825 | 91,135 | 270,091 | 455,675 | 1,350,455 | 2,971,001 | 6,752,275 | 14,855,005 | 74,275,025 |
| -1 | -5 | -11 | -25 | -55 | -163 | -275 | -815 | -1,657 | -1,793 | -4,075 | -8,285 | -8,965 | -18,227 | -41,425 | -44,825 | -91,135 | -270,091 | -455,675 | -1,350,455 | -2,971,001 | -6,752,275 | -14,855,005 | -74,275,025 |
Here are some more numbers to try:
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