A:
Positive:
1 x 1011000255 x 2022000513 x 777692525 x 404400165 x 1555385169 x 598225325 x 311077845 x 1196454225 x 23929
Negative:
-1 x -101100025-5 x -20220005-13 x -7776925-25 x -4044001-65 x -1555385-169 x -598225-325 x -311077-845 x -119645-4225 x -23929
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 101,100,025, 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 | 101,100,025 | |
| -1 | -101,100,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,100,025.
Example:
1 x 101,100,025 = 101,100,025
and
-1 x -101,100,025 = 101,100,025
Notice both answers equal 101,100,025
With that explanation out of the way, let's continue. Next, we take the number 101,100,025 and divide it by 2:
101,100,025 ÷ 2 = 50,550,012.5
If the quotient is a whole number, then 2 and 50,550,012.5 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 | 101,100,025 | |
| -1 | -101,100,025 |
Now, we try dividing 101,100,025 by 3:
101,100,025 ÷ 3 = 33,700,008.3333
If the quotient is a whole number, then 3 and 33,700,008.3333 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 | 101,100,025 | |
| -1 | -101,100,025 |
Let's try dividing by 4:
101,100,025 ÷ 4 = 25,275,006.25
If the quotient is a whole number, then 4 and 25,275,006.25 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 | 101,100,025 | |
| -1 | 101,100,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 169 | 325 | 845 | 4,225 | 23,929 | 119,645 | 311,077 | 598,225 | 1,555,385 | 4,044,001 | 7,776,925 | 20,220,005 | 101,100,025 |
| -1 | -5 | -13 | -25 | -65 | -169 | -325 | -845 | -4,225 | -23,929 | -119,645 | -311,077 | -598,225 | -1,555,385 | -4,044,001 | -7,776,925 | -20,220,005 | -101,100,025 |
Here are some more numbers to try:
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