A:
Positive:
1 x 300601255 x 601202525 x 1202405101 x 297625125 x 240481505 x 595252381 x 126252525 x 11905
Negative:
-1 x -30060125-5 x -6012025-25 x -1202405-101 x -297625-125 x -240481-505 x -59525-2381 x -12625-2525 x -11905
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 30,060,125, 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 | 30,060,125 | |
| -1 | -30,060,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,060,125.
Example:
1 x 30,060,125 = 30,060,125
and
-1 x -30,060,125 = 30,060,125
Notice both answers equal 30,060,125
With that explanation out of the way, let's continue. Next, we take the number 30,060,125 and divide it by 2:
30,060,125 ÷ 2 = 15,030,062.5
If the quotient is a whole number, then 2 and 15,030,062.5 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 | 30,060,125 | |
| -1 | -30,060,125 |
Now, we try dividing 30,060,125 by 3:
30,060,125 ÷ 3 = 10,020,041.6667
If the quotient is a whole number, then 3 and 10,020,041.6667 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 | 30,060,125 | |
| -1 | -30,060,125 |
Let's try dividing by 4:
30,060,125 ÷ 4 = 7,515,031.25
If the quotient is a whole number, then 4 and 7,515,031.25 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 | 30,060,125 | |
| -1 | 30,060,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 101 | 125 | 505 | 2,381 | 2,525 | 11,905 | 12,625 | 59,525 | 240,481 | 297,625 | 1,202,405 | 6,012,025 | 30,060,125 |
| -1 | -5 | -25 | -101 | -125 | -505 | -2,381 | -2,525 | -11,905 | -12,625 | -59,525 | -240,481 | -297,625 | -1,202,405 | -6,012,025 | -30,060,125 |
Here are some more numbers to try:
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