A:
Positive:
1 x 3440266255 x 6880532525 x 13761065125 x 2752213257 x 13386251285 x 2677256425 x 5354510709 x 32125
Negative:
-1 x -344026625-5 x -68805325-25 x -13761065-125 x -2752213-257 x -1338625-1285 x -267725-6425 x -53545-10709 x -32125
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 344,026,625, 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 | 344,026,625 | |
| -1 | -344,026,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,026,625.
Example:
1 x 344,026,625 = 344,026,625
and
-1 x -344,026,625 = 344,026,625
Notice both answers equal 344,026,625
With that explanation out of the way, let's continue. Next, we take the number 344,026,625 and divide it by 2:
344,026,625 ÷ 2 = 172,013,312.5
If the quotient is a whole number, then 2 and 172,013,312.5 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 | 344,026,625 | |
| -1 | -344,026,625 |
Now, we try dividing 344,026,625 by 3:
344,026,625 ÷ 3 = 114,675,541.6667
If the quotient is a whole number, then 3 and 114,675,541.6667 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 | 344,026,625 | |
| -1 | -344,026,625 |
Let's try dividing by 4:
344,026,625 ÷ 4 = 86,006,656.25
If the quotient is a whole number, then 4 and 86,006,656.25 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 | 344,026,625 | |
| -1 | 344,026,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 257 | 1,285 | 6,425 | 10,709 | 32,125 | 53,545 | 267,725 | 1,338,625 | 2,752,213 | 13,761,065 | 68,805,325 | 344,026,625 |
| -1 | -5 | -25 | -125 | -257 | -1,285 | -6,425 | -10,709 | -32,125 | -53,545 | -267,725 | -1,338,625 | -2,752,213 | -13,761,065 | -68,805,325 | -344,026,625 |
Here are some more numbers to try:
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