A:
Positive:
1 x 105250255 x 21050057 x 150357525 x 42100135 x 300715137 x 76825175 x 60143439 x 23975685 x 15365959 x 109752195 x 47953073 x 3425
Negative:
-1 x -10525025-5 x -2105005-7 x -1503575-25 x -421001-35 x -300715-137 x -76825-175 x -60143-439 x -23975-685 x -15365-959 x -10975-2195 x -4795-3073 x -3425
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 10,525,025, 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 | 10,525,025 | |
| -1 | -10,525,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,525,025.
Example:
1 x 10,525,025 = 10,525,025
and
-1 x -10,525,025 = 10,525,025
Notice both answers equal 10,525,025
With that explanation out of the way, let's continue. Next, we take the number 10,525,025 and divide it by 2:
10,525,025 ÷ 2 = 5,262,512.5
If the quotient is a whole number, then 2 and 5,262,512.5 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 | 10,525,025 | |
| -1 | -10,525,025 |
Now, we try dividing 10,525,025 by 3:
10,525,025 ÷ 3 = 3,508,341.6667
If the quotient is a whole number, then 3 and 3,508,341.6667 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 | 10,525,025 | |
| -1 | -10,525,025 |
Let's try dividing by 4:
10,525,025 ÷ 4 = 2,631,256.25
If the quotient is a whole number, then 4 and 2,631,256.25 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 | 10,525,025 | |
| -1 | 10,525,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 137 | 175 | 439 | 685 | 959 | 2,195 | 3,073 | 3,425 | 4,795 | 10,975 | 15,365 | 23,975 | 60,143 | 76,825 | 300,715 | 421,001 | 1,503,575 | 2,105,005 | 10,525,025 |
| -1 | -5 | -7 | -25 | -35 | -137 | -175 | -439 | -685 | -959 | -2,195 | -3,073 | -3,425 | -4,795 | -10,975 | -15,365 | -23,975 | -60,143 | -76,825 | -300,715 | -421,001 | -1,503,575 | -2,105,005 | -10,525,025 |
Here are some more numbers to try:
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