A:
Positive:
1 x 401211255 x 802422511 x 364737525 x 160484555 x 729475125 x 320969275 x 1458951375 x 29179
Negative:
-1 x -40121125-5 x -8024225-11 x -3647375-25 x -1604845-55 x -729475-125 x -320969-275 x -145895-1375 x -29179
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 40,121,125, 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 | 40,121,125 | |
| -1 | -40,121,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,121,125.
Example:
1 x 40,121,125 = 40,121,125
and
-1 x -40,121,125 = 40,121,125
Notice both answers equal 40,121,125
With that explanation out of the way, let's continue. Next, we take the number 40,121,125 and divide it by 2:
40,121,125 ÷ 2 = 20,060,562.5
If the quotient is a whole number, then 2 and 20,060,562.5 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 | 40,121,125 | |
| -1 | -40,121,125 |
Now, we try dividing 40,121,125 by 3:
40,121,125 ÷ 3 = 13,373,708.3333
If the quotient is a whole number, then 3 and 13,373,708.3333 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 | 40,121,125 | |
| -1 | -40,121,125 |
Let's try dividing by 4:
40,121,125 ÷ 4 = 10,030,281.25
If the quotient is a whole number, then 4 and 10,030,281.25 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 | 40,121,125 | |
| -1 | 40,121,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 29,179 | 145,895 | 320,969 | 729,475 | 1,604,845 | 3,647,375 | 8,024,225 | 40,121,125 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -29,179 | -145,895 | -320,969 | -729,475 | -1,604,845 | -3,647,375 | -8,024,225 | -40,121,125 |
Here are some more numbers to try:
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