A:
Positive:
1 x 5062755 x 1012557 x 7232511 x 4602525 x 2025135 x 1446555 x 920577 x 6575175 x 2893263 x 1925275 x 1841385 x 1315
Negative:
-1 x -506275-5 x -101255-7 x -72325-11 x -46025-25 x -20251-35 x -14465-55 x -9205-77 x -6575-175 x -2893-263 x -1925-275 x -1841-385 x -1315
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 506,275, 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 | 506,275 | |
| -1 | -506,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,275.
Example:
1 x 506,275 = 506,275
and
-1 x -506,275 = 506,275
Notice both answers equal 506,275
With that explanation out of the way, let's continue. Next, we take the number 506,275 and divide it by 2:
506,275 ÷ 2 = 253,137.5
If the quotient is a whole number, then 2 and 253,137.5 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 | 506,275 | |
| -1 | -506,275 |
Now, we try dividing 506,275 by 3:
506,275 ÷ 3 = 168,758.3333
If the quotient is a whole number, then 3 and 168,758.3333 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 | 506,275 | |
| -1 | -506,275 |
Let's try dividing by 4:
506,275 ÷ 4 = 126,568.75
If the quotient is a whole number, then 4 and 126,568.75 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 | 506,275 | |
| -1 | 506,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 25 | 35 | 55 | 77 | 175 | 263 | 275 | 385 | 1,315 | 1,841 | 1,925 | 2,893 | 6,575 | 9,205 | 14,465 | 20,251 | 46,025 | 72,325 | 101,255 | 506,275 |
| -1 | -5 | -7 | -11 | -25 | -35 | -55 | -77 | -175 | -263 | -275 | -385 | -1,315 | -1,841 | -1,925 | -2,893 | -6,575 | -9,205 | -14,465 | -20,251 | -46,025 | -72,325 | -101,255 | -506,275 |
Here are some more numbers to try:
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