A:
Positive:
1 x 3453210255 x 690642057 x 4933157525 x 1381284135 x 986631573 x 4730425175 x 1973263365 x 946085511 x 6757751825 x 1892172555 x 13515512775 x 27031
Negative:
-1 x -345321025-5 x -69064205-7 x -49331575-25 x -13812841-35 x -9866315-73 x -4730425-175 x -1973263-365 x -946085-511 x -675775-1825 x -189217-2555 x -135155-12775 x -27031
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 345,321,025, 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 | 345,321,025 | |
| -1 | -345,321,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 345,321,025.
Example:
1 x 345,321,025 = 345,321,025
and
-1 x -345,321,025 = 345,321,025
Notice both answers equal 345,321,025
With that explanation out of the way, let's continue. Next, we take the number 345,321,025 and divide it by 2:
345,321,025 ÷ 2 = 172,660,512.5
If the quotient is a whole number, then 2 and 172,660,512.5 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 | 345,321,025 | |
| -1 | -345,321,025 |
Now, we try dividing 345,321,025 by 3:
345,321,025 ÷ 3 = 115,107,008.3333
If the quotient is a whole number, then 3 and 115,107,008.3333 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 | 345,321,025 | |
| -1 | -345,321,025 |
Let's try dividing by 4:
345,321,025 ÷ 4 = 86,330,256.25
If the quotient is a whole number, then 4 and 86,330,256.25 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 | 345,321,025 | |
| -1 | 345,321,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 73 | 175 | 365 | 511 | 1,825 | 2,555 | 12,775 | 27,031 | 135,155 | 189,217 | 675,775 | 946,085 | 1,973,263 | 4,730,425 | 9,866,315 | 13,812,841 | 49,331,575 | 69,064,205 | 345,321,025 |
| -1 | -5 | -7 | -25 | -35 | -73 | -175 | -365 | -511 | -1,825 | -2,555 | -12,775 | -27,031 | -135,155 | -189,217 | -675,775 | -946,085 | -1,973,263 | -4,730,425 | -9,866,315 | -13,812,841 | -49,331,575 | -69,064,205 | -345,321,025 |
Here are some more numbers to try:
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