A:
Positive:
1 x 2110021255 x 4220042519 x 1110537525 x 844008595 x 2221075125 x 1688017475 x 4442152375 x 88843
Negative:
-1 x -211002125-5 x -42200425-19 x -11105375-25 x -8440085-95 x -2221075-125 x -1688017-475 x -444215-2375 x -88843
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 211,002,125, 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 | 211,002,125 | |
| -1 | -211,002,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,002,125.
Example:
1 x 211,002,125 = 211,002,125
and
-1 x -211,002,125 = 211,002,125
Notice both answers equal 211,002,125
With that explanation out of the way, let's continue. Next, we take the number 211,002,125 and divide it by 2:
211,002,125 ÷ 2 = 105,501,062.5
If the quotient is a whole number, then 2 and 105,501,062.5 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 | 211,002,125 | |
| -1 | -211,002,125 |
Now, we try dividing 211,002,125 by 3:
211,002,125 ÷ 3 = 70,334,041.6667
If the quotient is a whole number, then 3 and 70,334,041.6667 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 | 211,002,125 | |
| -1 | -211,002,125 |
Let's try dividing by 4:
211,002,125 ÷ 4 = 52,750,531.25
If the quotient is a whole number, then 4 and 52,750,531.25 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 | 211,002,125 | |
| -1 | 211,002,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 125 | 475 | 2,375 | 88,843 | 444,215 | 1,688,017 | 2,221,075 | 8,440,085 | 11,105,375 | 42,200,425 | 211,002,125 |
| -1 | -5 | -19 | -25 | -95 | -125 | -475 | -2,375 | -88,843 | -444,215 | -1,688,017 | -2,221,075 | -8,440,085 | -11,105,375 | -42,200,425 | -211,002,125 |
Here are some more numbers to try:
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