A:
Positive:
1 x 1013002255 x 2026004513 x 779232525 x 405200953 x 191132565 x 1558465265 x 382265325 x 311693689 x 1470251325 x 764533445 x 294055881 x 17225
Negative:
-1 x -101300225-5 x -20260045-13 x -7792325-25 x -4052009-53 x -1911325-65 x -1558465-265 x -382265-325 x -311693-689 x -147025-1325 x -76453-3445 x -29405-5881 x -17225
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 101,300,225, 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 | 101,300,225 | |
| -1 | -101,300,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,300,225.
Example:
1 x 101,300,225 = 101,300,225
and
-1 x -101,300,225 = 101,300,225
Notice both answers equal 101,300,225
With that explanation out of the way, let's continue. Next, we take the number 101,300,225 and divide it by 2:
101,300,225 ÷ 2 = 50,650,112.5
If the quotient is a whole number, then 2 and 50,650,112.5 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 | 101,300,225 | |
| -1 | -101,300,225 |
Now, we try dividing 101,300,225 by 3:
101,300,225 ÷ 3 = 33,766,741.6667
If the quotient is a whole number, then 3 and 33,766,741.6667 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 | 101,300,225 | |
| -1 | -101,300,225 |
Let's try dividing by 4:
101,300,225 ÷ 4 = 25,325,056.25
If the quotient is a whole number, then 4 and 25,325,056.25 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 | 101,300,225 | |
| -1 | 101,300,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 53 | 65 | 265 | 325 | 689 | 1,325 | 3,445 | 5,881 | 17,225 | 29,405 | 76,453 | 147,025 | 311,693 | 382,265 | 1,558,465 | 1,911,325 | 4,052,009 | 7,792,325 | 20,260,045 | 101,300,225 |
| -1 | -5 | -13 | -25 | -53 | -65 | -265 | -325 | -689 | -1,325 | -3,445 | -5,881 | -17,225 | -29,405 | -76,453 | -147,025 | -311,693 | -382,265 | -1,558,465 | -1,911,325 | -4,052,009 | -7,792,325 | -20,260,045 | -101,300,225 |
Here are some more numbers to try:
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