A:
Positive:
1 x 2142255 x 4284511 x 1947519 x 1127525 x 856941 x 522555 x 389595 x 2255205 x 1045209 x 1025275 x 779451 x 475
Negative:
-1 x -214225-5 x -42845-11 x -19475-19 x -11275-25 x -8569-41 x -5225-55 x -3895-95 x -2255-205 x -1045-209 x -1025-275 x -779-451 x -475
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 214,225, 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 | 214,225 | |
| -1 | -214,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,225.
Example:
1 x 214,225 = 214,225
and
-1 x -214,225 = 214,225
Notice both answers equal 214,225
With that explanation out of the way, let's continue. Next, we take the number 214,225 and divide it by 2:
214,225 ÷ 2 = 107,112.5
If the quotient is a whole number, then 2 and 107,112.5 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 | 214,225 | |
| -1 | -214,225 |
Now, we try dividing 214,225 by 3:
214,225 ÷ 3 = 71,408.3333
If the quotient is a whole number, then 3 and 71,408.3333 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 | 214,225 | |
| -1 | -214,225 |
Let's try dividing by 4:
214,225 ÷ 4 = 53,556.25
If the quotient is a whole number, then 4 and 53,556.25 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 | 214,225 | |
| -1 | 214,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 41 | 55 | 95 | 205 | 209 | 275 | 451 | 475 | 779 | 1,025 | 1,045 | 2,255 | 3,895 | 5,225 | 8,569 | 11,275 | 19,475 | 42,845 | 214,225 |
| -1 | -5 | -11 | -19 | -25 | -41 | -55 | -95 | -205 | -209 | -275 | -451 | -475 | -779 | -1,025 | -1,045 | -2,255 | -3,895 | -5,225 | -8,569 | -11,275 | -19,475 | -42,845 | -214,225 |
Here are some more numbers to try:
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