A:
Positive:
1 x 2192755 x 438557 x 3132525 x 877135 x 626549 x 4475175 x 1253179 x 1225245 x 895
Negative:
-1 x -219275-5 x -43855-7 x -31325-25 x -8771-35 x -6265-49 x -4475-175 x -1253-179 x -1225-245 x -895
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 219,275, 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 | 219,275 | |
| -1 | -219,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 219,275.
Example:
1 x 219,275 = 219,275
and
-1 x -219,275 = 219,275
Notice both answers equal 219,275
With that explanation out of the way, let's continue. Next, we take the number 219,275 and divide it by 2:
219,275 ÷ 2 = 109,637.5
If the quotient is a whole number, then 2 and 109,637.5 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 | 219,275 | |
| -1 | -219,275 |
Now, we try dividing 219,275 by 3:
219,275 ÷ 3 = 73,091.6667
If the quotient is a whole number, then 3 and 73,091.6667 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 | 219,275 | |
| -1 | -219,275 |
Let's try dividing by 4:
219,275 ÷ 4 = 54,818.75
If the quotient is a whole number, then 4 and 54,818.75 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 | 219,275 | |
| -1 | 219,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 179 | 245 | 895 | 1,225 | 1,253 | 4,475 | 6,265 | 8,771 | 31,325 | 43,855 | 219,275 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -179 | -245 | -895 | -1,225 | -1,253 | -4,475 | -6,265 | -8,771 | -31,325 | -43,855 | -219,275 |
Here are some more numbers to try:
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