A:
Positive:
1 x 789255 x 157857 x 1127511 x 717525 x 315735 x 225541 x 192555 x 143577 x 1025175 x 451205 x 385275 x 287
Negative:
-1 x -78925-5 x -15785-7 x -11275-11 x -7175-25 x -3157-35 x -2255-41 x -1925-55 x -1435-77 x -1025-175 x -451-205 x -385-275 x -287
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 78,925, 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 | 78,925 | |
| -1 | -78,925 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,925.
Example:
1 x 78,925 = 78,925
and
-1 x -78,925 = 78,925
Notice both answers equal 78,925
With that explanation out of the way, let's continue. Next, we take the number 78,925 and divide it by 2:
78,925 ÷ 2 = 39,462.5
If the quotient is a whole number, then 2 and 39,462.5 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 | 78,925 | |
| -1 | -78,925 |
Now, we try dividing 78,925 by 3:
78,925 ÷ 3 = 26,308.3333
If the quotient is a whole number, then 3 and 26,308.3333 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 | 78,925 | |
| -1 | -78,925 |
Let's try dividing by 4:
78,925 ÷ 4 = 19,731.25
If the quotient is a whole number, then 4 and 19,731.25 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 | 78,925 | |
| -1 | 78,925 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 25 | 35 | 41 | 55 | 77 | 175 | 205 | 275 | 287 | 385 | 451 | 1,025 | 1,435 | 1,925 | 2,255 | 3,157 | 7,175 | 11,275 | 15,785 | 78,925 |
| -1 | -5 | -7 | -11 | -25 | -35 | -41 | -55 | -77 | -175 | -205 | -275 | -287 | -385 | -451 | -1,025 | -1,435 | -1,925 | -2,255 | -3,157 | -7,175 | -11,275 | -15,785 | -78,925 |
Here are some more numbers to try:
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