A:
Positive:
1 x 212110255 x 424220511 x 192827525 x 84844155 x 385655137 x 154825275 x 77131563 x 37675685 x 309651507 x 140752815 x 75353425 x 6193
Negative:
-1 x -21211025-5 x -4242205-11 x -1928275-25 x -848441-55 x -385655-137 x -154825-275 x -77131-563 x -37675-685 x -30965-1507 x -14075-2815 x -7535-3425 x -6193
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 21,211,025, 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 | 21,211,025 | |
| -1 | -21,211,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,211,025.
Example:
1 x 21,211,025 = 21,211,025
and
-1 x -21,211,025 = 21,211,025
Notice both answers equal 21,211,025
With that explanation out of the way, let's continue. Next, we take the number 21,211,025 and divide it by 2:
21,211,025 ÷ 2 = 10,605,512.5
If the quotient is a whole number, then 2 and 10,605,512.5 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 | 21,211,025 | |
| -1 | -21,211,025 |
Now, we try dividing 21,211,025 by 3:
21,211,025 ÷ 3 = 7,070,341.6667
If the quotient is a whole number, then 3 and 7,070,341.6667 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 | 21,211,025 | |
| -1 | -21,211,025 |
Let's try dividing by 4:
21,211,025 ÷ 4 = 5,302,756.25
If the quotient is a whole number, then 4 and 5,302,756.25 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 | 21,211,025 | |
| -1 | 21,211,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 137 | 275 | 563 | 685 | 1,507 | 2,815 | 3,425 | 6,193 | 7,535 | 14,075 | 30,965 | 37,675 | 77,131 | 154,825 | 385,655 | 848,441 | 1,928,275 | 4,242,205 | 21,211,025 |
| -1 | -5 | -11 | -25 | -55 | -137 | -275 | -563 | -685 | -1,507 | -2,815 | -3,425 | -6,193 | -7,535 | -14,075 | -30,965 | -37,675 | -77,131 | -154,825 | -385,655 | -848,441 | -1,928,275 | -4,242,205 | -21,211,025 |
Here are some more numbers to try:
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