A:
Positive:
1 x 781555 x 156317 x 1116511 x 710529 x 269535 x 223349 x 159555 x 142177 x 1015145 x 539203 x 385245 x 319
Negative:
-1 x -78155-5 x -15631-7 x -11165-11 x -7105-29 x -2695-35 x -2233-49 x -1595-55 x -1421-77 x -1015-145 x -539-203 x -385-245 x -319
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 78,155, 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 | 78,155 | |
| -1 | -78,155 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,155.
Example:
1 x 78,155 = 78,155
and
-1 x -78,155 = 78,155
Notice both answers equal 78,155
With that explanation out of the way, let's continue. Next, we take the number 78,155 and divide it by 2:
78,155 ÷ 2 = 39,077.5
If the quotient is a whole number, then 2 and 39,077.5 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 | 78,155 | |
| -1 | -78,155 |
Now, we try dividing 78,155 by 3:
78,155 ÷ 3 = 26,051.6667
If the quotient is a whole number, then 3 and 26,051.6667 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 | 78,155 | |
| -1 | -78,155 |
Let's try dividing by 4:
78,155 ÷ 4 = 19,538.75
If the quotient is a whole number, then 4 and 19,538.75 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 | 78,155 | |
| -1 | 78,155 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 29 | 35 | 49 | 55 | 77 | 145 | 203 | 245 | 319 | 385 | 539 | 1,015 | 1,421 | 1,595 | 2,233 | 2,695 | 7,105 | 11,165 | 15,631 | 78,155 |
| -1 | -5 | -7 | -11 | -29 | -35 | -49 | -55 | -77 | -145 | -203 | -245 | -319 | -385 | -539 | -1,015 | -1,421 | -1,595 | -2,233 | -2,695 | -7,105 | -11,165 | -15,631 | -78,155 |
Here are some more numbers to try:
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