A:
Positive:
1 x 2250212517 x 3214589313 x 1730932791 x 2472761311 x 7235412177 x 1033634043 x 556577951 x 28301
Negative:
-1 x -225021251-7 x -32145893-13 x -17309327-91 x -2472761-311 x -723541-2177 x -103363-4043 x -55657-7951 x -28301
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 225,021,251, 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 | 225,021,251 | |
| -1 | -225,021,251 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 225,021,251.
Example:
1 x 225,021,251 = 225,021,251
and
-1 x -225,021,251 = 225,021,251
Notice both answers equal 225,021,251
With that explanation out of the way, let's continue. Next, we take the number 225,021,251 and divide it by 2:
225,021,251 ÷ 2 = 112,510,625.5
If the quotient is a whole number, then 2 and 112,510,625.5 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 | 225,021,251 | |
| -1 | -225,021,251 |
Now, we try dividing 225,021,251 by 3:
225,021,251 ÷ 3 = 75,007,083.6667
If the quotient is a whole number, then 3 and 75,007,083.6667 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 | 225,021,251 | |
| -1 | -225,021,251 |
Let's try dividing by 4:
225,021,251 ÷ 4 = 56,255,312.75
If the quotient is a whole number, then 4 and 56,255,312.75 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 | 225,021,251 | |
| -1 | 225,021,251 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 311 | 2,177 | 4,043 | 7,951 | 28,301 | 55,657 | 103,363 | 723,541 | 2,472,761 | 17,309,327 | 32,145,893 | 225,021,251 |
| -1 | -7 | -13 | -91 | -311 | -2,177 | -4,043 | -7,951 | -28,301 | -55,657 | -103,363 | -723,541 | -2,472,761 | -17,309,327 | -32,145,893 | -225,021,251 |
Here are some more numbers to try:
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