A:
Positive:
1 x 3106755 x 6213517 x 1827525 x 1242743 x 722585 x 3655215 x 1445289 x 1075425 x 731
Negative:
-1 x -310675-5 x -62135-17 x -18275-25 x -12427-43 x -7225-85 x -3655-215 x -1445-289 x -1075-425 x -731
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 310,675, 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 | 310,675 | |
| -1 | -310,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,675.
Example:
1 x 310,675 = 310,675
and
-1 x -310,675 = 310,675
Notice both answers equal 310,675
With that explanation out of the way, let's continue. Next, we take the number 310,675 and divide it by 2:
310,675 ÷ 2 = 155,337.5
If the quotient is a whole number, then 2 and 155,337.5 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 | 310,675 | |
| -1 | -310,675 |
Now, we try dividing 310,675 by 3:
310,675 ÷ 3 = 103,558.3333
If the quotient is a whole number, then 3 and 103,558.3333 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 | 310,675 | |
| -1 | -310,675 |
Let's try dividing by 4:
310,675 ÷ 4 = 77,668.75
If the quotient is a whole number, then 4 and 77,668.75 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 | 310,675 | |
| -1 | 310,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 43 | 85 | 215 | 289 | 425 | 731 | 1,075 | 1,445 | 3,655 | 7,225 | 12,427 | 18,275 | 62,135 | 310,675 |
| -1 | -5 | -17 | -25 | -43 | -85 | -215 | -289 | -425 | -731 | -1,075 | -1,445 | -3,655 | -7,225 | -12,427 | -18,275 | -62,135 | -310,675 |
Here are some more numbers to try:
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