A:
Positive:
1 x 754200255 x 1508400519 x 396947525 x 301680183 x 90867595 x 793895415 x 181735475 x 1587791577 x 478251913 x 394252075 x 363477885 x 9565
Negative:
-1 x -75420025-5 x -15084005-19 x -3969475-25 x -3016801-83 x -908675-95 x -793895-415 x -181735-475 x -158779-1577 x -47825-1913 x -39425-2075 x -36347-7885 x -9565
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 75,420,025, 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 | 75,420,025 | |
| -1 | -75,420,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,420,025.
Example:
1 x 75,420,025 = 75,420,025
and
-1 x -75,420,025 = 75,420,025
Notice both answers equal 75,420,025
With that explanation out of the way, let's continue. Next, we take the number 75,420,025 and divide it by 2:
75,420,025 ÷ 2 = 37,710,012.5
If the quotient is a whole number, then 2 and 37,710,012.5 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 | 75,420,025 | |
| -1 | -75,420,025 |
Now, we try dividing 75,420,025 by 3:
75,420,025 ÷ 3 = 25,140,008.3333
If the quotient is a whole number, then 3 and 25,140,008.3333 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 | 75,420,025 | |
| -1 | -75,420,025 |
Let's try dividing by 4:
75,420,025 ÷ 4 = 18,855,006.25
If the quotient is a whole number, then 4 and 18,855,006.25 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 | 75,420,025 | |
| -1 | 75,420,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 83 | 95 | 415 | 475 | 1,577 | 1,913 | 2,075 | 7,885 | 9,565 | 36,347 | 39,425 | 47,825 | 158,779 | 181,735 | 793,895 | 908,675 | 3,016,801 | 3,969,475 | 15,084,005 | 75,420,025 |
| -1 | -5 | -19 | -25 | -83 | -95 | -415 | -475 | -1,577 | -1,913 | -2,075 | -7,885 | -9,565 | -36,347 | -39,425 | -47,825 | -158,779 | -181,735 | -793,895 | -908,675 | -3,016,801 | -3,969,475 | -15,084,005 | -75,420,025 |
Here are some more numbers to try:
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