A:
Positive:
1 x 3403161255 x 6806322519 x 1791137525 x 1361264595 x 3582275125 x 2722529475 x 7164552375 x 143291
Negative:
-1 x -340316125-5 x -68063225-19 x -17911375-25 x -13612645-95 x -3582275-125 x -2722529-475 x -716455-2375 x -143291
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 340,316,125, 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 | 340,316,125 | |
| -1 | -340,316,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 340,316,125.
Example:
1 x 340,316,125 = 340,316,125
and
-1 x -340,316,125 = 340,316,125
Notice both answers equal 340,316,125
With that explanation out of the way, let's continue. Next, we take the number 340,316,125 and divide it by 2:
340,316,125 ÷ 2 = 170,158,062.5
If the quotient is a whole number, then 2 and 170,158,062.5 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 | 340,316,125 | |
| -1 | -340,316,125 |
Now, we try dividing 340,316,125 by 3:
340,316,125 ÷ 3 = 113,438,708.3333
If the quotient is a whole number, then 3 and 113,438,708.3333 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 | 340,316,125 | |
| -1 | -340,316,125 |
Let's try dividing by 4:
340,316,125 ÷ 4 = 85,079,031.25
If the quotient is a whole number, then 4 and 85,079,031.25 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 | 340,316,125 | |
| -1 | 340,316,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 125 | 475 | 2,375 | 143,291 | 716,455 | 2,722,529 | 3,582,275 | 13,612,645 | 17,911,375 | 68,063,225 | 340,316,125 |
| -1 | -5 | -19 | -25 | -95 | -125 | -475 | -2,375 | -143,291 | -716,455 | -2,722,529 | -3,582,275 | -13,612,645 | -17,911,375 | -68,063,225 | -340,316,125 |
Here are some more numbers to try:
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