A:
Positive:
1 x 219382255 x 438764525 x 87752937 x 592925185 x 118585641 x 34225925 x 237171369 x 160253205 x 6845
Negative:
-1 x -21938225-5 x -4387645-25 x -877529-37 x -592925-185 x -118585-641 x -34225-925 x -23717-1369 x -16025-3205 x -6845
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 21,938,225, 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 | 21,938,225 | |
| -1 | -21,938,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,938,225.
Example:
1 x 21,938,225 = 21,938,225
and
-1 x -21,938,225 = 21,938,225
Notice both answers equal 21,938,225
With that explanation out of the way, let's continue. Next, we take the number 21,938,225 and divide it by 2:
21,938,225 ÷ 2 = 10,969,112.5
If the quotient is a whole number, then 2 and 10,969,112.5 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 | 21,938,225 | |
| -1 | -21,938,225 |
Now, we try dividing 21,938,225 by 3:
21,938,225 ÷ 3 = 7,312,741.6667
If the quotient is a whole number, then 3 and 7,312,741.6667 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 | 21,938,225 | |
| -1 | -21,938,225 |
Let's try dividing by 4:
21,938,225 ÷ 4 = 5,484,556.25
If the quotient is a whole number, then 4 and 5,484,556.25 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 | 21,938,225 | |
| -1 | 21,938,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 37 | 185 | 641 | 925 | 1,369 | 3,205 | 6,845 | 16,025 | 23,717 | 34,225 | 118,585 | 592,925 | 877,529 | 4,387,645 | 21,938,225 |
| -1 | -5 | -25 | -37 | -185 | -641 | -925 | -1,369 | -3,205 | -6,845 | -16,025 | -23,717 | -34,225 | -118,585 | -592,925 | -877,529 | -4,387,645 | -21,938,225 |
Here are some more numbers to try:
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