A:
Positive:
1 x 3014001255 x 6028002513 x 2318462525 x 1205600565 x 4636925125 x 2411201325 x 9273851625 x 185477
Negative:
-1 x -301400125-5 x -60280025-13 x -23184625-25 x -12056005-65 x -4636925-125 x -2411201-325 x -927385-1625 x -185477
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 301,400,125, 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 | 301,400,125 | |
| -1 | -301,400,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,400,125.
Example:
1 x 301,400,125 = 301,400,125
and
-1 x -301,400,125 = 301,400,125
Notice both answers equal 301,400,125
With that explanation out of the way, let's continue. Next, we take the number 301,400,125 and divide it by 2:
301,400,125 ÷ 2 = 150,700,062.5
If the quotient is a whole number, then 2 and 150,700,062.5 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 | 301,400,125 | |
| -1 | -301,400,125 |
Now, we try dividing 301,400,125 by 3:
301,400,125 ÷ 3 = 100,466,708.3333
If the quotient is a whole number, then 3 and 100,466,708.3333 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 | 301,400,125 | |
| -1 | -301,400,125 |
Let's try dividing by 4:
301,400,125 ÷ 4 = 75,350,031.25
If the quotient is a whole number, then 4 and 75,350,031.25 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 | 301,400,125 | |
| -1 | 301,400,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 1,625 | 185,477 | 927,385 | 2,411,201 | 4,636,925 | 12,056,005 | 23,184,625 | 60,280,025 | 301,400,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -1,625 | -185,477 | -927,385 | -2,411,201 | -4,636,925 | -12,056,005 | -23,184,625 | -60,280,025 | -301,400,125 |
Here are some more numbers to try:
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