A:
Positive:
1 x 213120255 x 42624057 x 304457525 x 85248135 x 608915175 x 121783193 x 110425631 x 33775965 x 220851351 x 157753155 x 67554417 x 4825
Negative:
-1 x -21312025-5 x -4262405-7 x -3044575-25 x -852481-35 x -608915-175 x -121783-193 x -110425-631 x -33775-965 x -22085-1351 x -15775-3155 x -6755-4417 x -4825
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 21,312,025, 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 | 21,312,025 | |
| -1 | -21,312,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,312,025.
Example:
1 x 21,312,025 = 21,312,025
and
-1 x -21,312,025 = 21,312,025
Notice both answers equal 21,312,025
With that explanation out of the way, let's continue. Next, we take the number 21,312,025 and divide it by 2:
21,312,025 ÷ 2 = 10,656,012.5
If the quotient is a whole number, then 2 and 10,656,012.5 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 | 21,312,025 | |
| -1 | -21,312,025 |
Now, we try dividing 21,312,025 by 3:
21,312,025 ÷ 3 = 7,104,008.3333
If the quotient is a whole number, then 3 and 7,104,008.3333 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 | 21,312,025 | |
| -1 | -21,312,025 |
Let's try dividing by 4:
21,312,025 ÷ 4 = 5,328,006.25
If the quotient is a whole number, then 4 and 5,328,006.25 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 | 21,312,025 | |
| -1 | 21,312,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 193 | 631 | 965 | 1,351 | 3,155 | 4,417 | 4,825 | 6,755 | 15,775 | 22,085 | 33,775 | 110,425 | 121,783 | 608,915 | 852,481 | 3,044,575 | 4,262,405 | 21,312,025 |
| -1 | -5 | -7 | -25 | -35 | -175 | -193 | -631 | -965 | -1,351 | -3,155 | -4,417 | -4,825 | -6,755 | -15,775 | -22,085 | -33,775 | -110,425 | -121,783 | -608,915 | -852,481 | -3,044,575 | -4,262,405 | -21,312,025 |
Here are some more numbers to try:
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