A:
Positive:
1 x 1000560255 x 2001120525 x 400224189 x 1124225193 x 518425233 x 429425445 x 224845965 x 1036851165 x 858852225 x 449694825 x 207375825 x 17177
Negative:
-1 x -100056025-5 x -20011205-25 x -4002241-89 x -1124225-193 x -518425-233 x -429425-445 x -224845-965 x -103685-1165 x -85885-2225 x -44969-4825 x -20737-5825 x -17177
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 100,056,025, 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 | 100,056,025 | |
| -1 | -100,056,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,056,025.
Example:
1 x 100,056,025 = 100,056,025
and
-1 x -100,056,025 = 100,056,025
Notice both answers equal 100,056,025
With that explanation out of the way, let's continue. Next, we take the number 100,056,025 and divide it by 2:
100,056,025 ÷ 2 = 50,028,012.5
If the quotient is a whole number, then 2 and 50,028,012.5 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 | 100,056,025 | |
| -1 | -100,056,025 |
Now, we try dividing 100,056,025 by 3:
100,056,025 ÷ 3 = 33,352,008.3333
If the quotient is a whole number, then 3 and 33,352,008.3333 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 | 100,056,025 | |
| -1 | -100,056,025 |
Let's try dividing by 4:
100,056,025 ÷ 4 = 25,014,006.25
If the quotient is a whole number, then 4 and 25,014,006.25 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 | 100,056,025 | |
| -1 | 100,056,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 89 | 193 | 233 | 445 | 965 | 1,165 | 2,225 | 4,825 | 5,825 | 17,177 | 20,737 | 44,969 | 85,885 | 103,685 | 224,845 | 429,425 | 518,425 | 1,124,225 | 4,002,241 | 20,011,205 | 100,056,025 |
| -1 | -5 | -25 | -89 | -193 | -233 | -445 | -965 | -1,165 | -2,225 | -4,825 | -5,825 | -17,177 | -20,737 | -44,969 | -85,885 | -103,685 | -224,845 | -429,425 | -518,425 | -1,124,225 | -4,002,241 | -20,011,205 | -100,056,025 |
Here are some more numbers to try:
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