A:
Positive:
1 x 2301202255 x 4602404525 x 920480947 x 4896175151 x 1523975235 x 979235755 x 3047951175 x 1958471297 x 1774253775 x 609596485 x 354857097 x 32425
Negative:
-1 x -230120225-5 x -46024045-25 x -9204809-47 x -4896175-151 x -1523975-235 x -979235-755 x -304795-1175 x -195847-1297 x -177425-3775 x -60959-6485 x -35485-7097 x -32425
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 230,120,225, 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 | 230,120,225 | |
| -1 | -230,120,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 230,120,225.
Example:
1 x 230,120,225 = 230,120,225
and
-1 x -230,120,225 = 230,120,225
Notice both answers equal 230,120,225
With that explanation out of the way, let's continue. Next, we take the number 230,120,225 and divide it by 2:
230,120,225 ÷ 2 = 115,060,112.5
If the quotient is a whole number, then 2 and 115,060,112.5 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 | 230,120,225 | |
| -1 | -230,120,225 |
Now, we try dividing 230,120,225 by 3:
230,120,225 ÷ 3 = 76,706,741.6667
If the quotient is a whole number, then 3 and 76,706,741.6667 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 | 230,120,225 | |
| -1 | -230,120,225 |
Let's try dividing by 4:
230,120,225 ÷ 4 = 57,530,056.25
If the quotient is a whole number, then 4 and 57,530,056.25 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 | 230,120,225 | |
| -1 | 230,120,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 47 | 151 | 235 | 755 | 1,175 | 1,297 | 3,775 | 6,485 | 7,097 | 32,425 | 35,485 | 60,959 | 177,425 | 195,847 | 304,795 | 979,235 | 1,523,975 | 4,896,175 | 9,204,809 | 46,024,045 | 230,120,225 |
| -1 | -5 | -25 | -47 | -151 | -235 | -755 | -1,175 | -1,297 | -3,775 | -6,485 | -7,097 | -32,425 | -35,485 | -60,959 | -177,425 | -195,847 | -304,795 | -979,235 | -1,523,975 | -4,896,175 | -9,204,809 | -46,024,045 | -230,120,225 |
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