A:
Positive:
1 x 276421255 x 55284257 x 394887525 x 110568535 x 78977549 x 564125125 x 221137175 x 157955245 x 112825875 x 315911225 x 225654513 x 6125
Negative:
-1 x -27642125-5 x -5528425-7 x -3948875-25 x -1105685-35 x -789775-49 x -564125-125 x -221137-175 x -157955-245 x -112825-875 x -31591-1225 x -22565-4513 x -6125
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 27,642,125, 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 | 27,642,125 | |
| -1 | -27,642,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,642,125.
Example:
1 x 27,642,125 = 27,642,125
and
-1 x -27,642,125 = 27,642,125
Notice both answers equal 27,642,125
With that explanation out of the way, let's continue. Next, we take the number 27,642,125 and divide it by 2:
27,642,125 ÷ 2 = 13,821,062.5
If the quotient is a whole number, then 2 and 13,821,062.5 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 | 27,642,125 | |
| -1 | -27,642,125 |
Now, we try dividing 27,642,125 by 3:
27,642,125 ÷ 3 = 9,214,041.6667
If the quotient is a whole number, then 3 and 9,214,041.6667 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 | 27,642,125 | |
| -1 | -27,642,125 |
Let's try dividing by 4:
27,642,125 ÷ 4 = 6,910,531.25
If the quotient is a whole number, then 4 and 6,910,531.25 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 | 27,642,125 | |
| -1 | 27,642,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 125 | 175 | 245 | 875 | 1,225 | 4,513 | 6,125 | 22,565 | 31,591 | 112,825 | 157,955 | 221,137 | 564,125 | 789,775 | 1,105,685 | 3,948,875 | 5,528,425 | 27,642,125 |
| -1 | -5 | -7 | -25 | -35 | -49 | -125 | -175 | -245 | -875 | -1,225 | -4,513 | -6,125 | -22,565 | -31,591 | -112,825 | -157,955 | -221,137 | -564,125 | -789,775 | -1,105,685 | -3,948,875 | -5,528,425 | -27,642,125 |
Here are some more numbers to try:
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