A:
Positive:
1 x 1202122255 x 240424457 x 1717317525 x 480848935 x 3434635113 x 1063825175 x 686927565 x 212765791 x 1519752825 x 425533955 x 303956079 x 19775
Negative:
-1 x -120212225-5 x -24042445-7 x -17173175-25 x -4808489-35 x -3434635-113 x -1063825-175 x -686927-565 x -212765-791 x -151975-2825 x -42553-3955 x -30395-6079 x -19775
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 120,212,225, 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 | 120,212,225 | |
| -1 | -120,212,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,212,225.
Example:
1 x 120,212,225 = 120,212,225
and
-1 x -120,212,225 = 120,212,225
Notice both answers equal 120,212,225
With that explanation out of the way, let's continue. Next, we take the number 120,212,225 and divide it by 2:
120,212,225 ÷ 2 = 60,106,112.5
If the quotient is a whole number, then 2 and 60,106,112.5 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 | 120,212,225 | |
| -1 | -120,212,225 |
Now, we try dividing 120,212,225 by 3:
120,212,225 ÷ 3 = 40,070,741.6667
If the quotient is a whole number, then 3 and 40,070,741.6667 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 | 120,212,225 | |
| -1 | -120,212,225 |
Let's try dividing by 4:
120,212,225 ÷ 4 = 30,053,056.25
If the quotient is a whole number, then 4 and 30,053,056.25 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 | 120,212,225 | |
| -1 | 120,212,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 113 | 175 | 565 | 791 | 2,825 | 3,955 | 6,079 | 19,775 | 30,395 | 42,553 | 151,975 | 212,765 | 686,927 | 1,063,825 | 3,434,635 | 4,808,489 | 17,173,175 | 24,042,445 | 120,212,225 |
| -1 | -5 | -7 | -25 | -35 | -113 | -175 | -565 | -791 | -2,825 | -3,955 | -6,079 | -19,775 | -30,395 | -42,553 | -151,975 | -212,765 | -686,927 | -1,063,825 | -3,434,635 | -4,808,489 | -17,173,175 | -24,042,445 | -120,212,225 |
Here are some more numbers to try:
Try the factor calculator