A:
Positive:
1 x 212125255 x 424250525 x 84850131 x 684275101 x 210025155 x 136855271 x 78275505 x 42005775 x 273711355 x 156552525 x 84013131 x 6775
Negative:
-1 x -21212525-5 x -4242505-25 x -848501-31 x -684275-101 x -210025-155 x -136855-271 x -78275-505 x -42005-775 x -27371-1355 x -15655-2525 x -8401-3131 x -6775
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 21,212,525, 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 | 21,212,525 | |
| -1 | -21,212,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,212,525.
Example:
1 x 21,212,525 = 21,212,525
and
-1 x -21,212,525 = 21,212,525
Notice both answers equal 21,212,525
With that explanation out of the way, let's continue. Next, we take the number 21,212,525 and divide it by 2:
21,212,525 ÷ 2 = 10,606,262.5
If the quotient is a whole number, then 2 and 10,606,262.5 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 | 21,212,525 | |
| -1 | -21,212,525 |
Now, we try dividing 21,212,525 by 3:
21,212,525 ÷ 3 = 7,070,841.6667
If the quotient is a whole number, then 3 and 7,070,841.6667 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 | 21,212,525 | |
| -1 | -21,212,525 |
Let's try dividing by 4:
21,212,525 ÷ 4 = 5,303,131.25
If the quotient is a whole number, then 4 and 5,303,131.25 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 | 21,212,525 | |
| -1 | 21,212,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 101 | 155 | 271 | 505 | 775 | 1,355 | 2,525 | 3,131 | 6,775 | 8,401 | 15,655 | 27,371 | 42,005 | 78,275 | 136,855 | 210,025 | 684,275 | 848,501 | 4,242,505 | 21,212,525 |
| -1 | -5 | -25 | -31 | -101 | -155 | -271 | -505 | -775 | -1,355 | -2,525 | -3,131 | -6,775 | -8,401 | -15,655 | -27,371 | -42,005 | -78,275 | -136,855 | -210,025 | -684,275 | -848,501 | -4,242,505 | -21,212,525 |
Here are some more numbers to try:
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