A:
Positive:
1 x 1372755 x 2745517 x 807519 x 722525 x 549185 x 161595 x 1445289 x 475323 x 425
Negative:
-1 x -137275-5 x -27455-17 x -8075-19 x -7225-25 x -5491-85 x -1615-95 x -1445-289 x -475-323 x -425
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 137,275, 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 | 137,275 | |
| -1 | -137,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 137,275.
Example:
1 x 137,275 = 137,275
and
-1 x -137,275 = 137,275
Notice both answers equal 137,275
With that explanation out of the way, let's continue. Next, we take the number 137,275 and divide it by 2:
137,275 ÷ 2 = 68,637.5
If the quotient is a whole number, then 2 and 68,637.5 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 | 137,275 | |
| -1 | -137,275 |
Now, we try dividing 137,275 by 3:
137,275 ÷ 3 = 45,758.3333
If the quotient is a whole number, then 3 and 45,758.3333 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 | 137,275 | |
| -1 | -137,275 |
Let's try dividing by 4:
137,275 ÷ 4 = 34,318.75
If the quotient is a whole number, then 4 and 34,318.75 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 | 137,275 | |
| -1 | 137,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 19 | 25 | 85 | 95 | 289 | 323 | 425 | 475 | 1,445 | 1,615 | 5,491 | 7,225 | 8,075 | 27,455 | 137,275 |
| -1 | -5 | -17 | -19 | -25 | -85 | -95 | -289 | -323 | -425 | -475 | -1,445 | -1,615 | -5,491 | -7,225 | -8,075 | -27,455 | -137,275 |
Here are some more numbers to try:
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