A:
Positive:
1 x 5132755 x 1026557 x 7332525 x 2053135 x 1466549 x 10475175 x 2933245 x 2095419 x 1225
Negative:
-1 x -513275-5 x -102655-7 x -73325-25 x -20531-35 x -14665-49 x -10475-175 x -2933-245 x -2095-419 x -1225
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 513,275, 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 | 513,275 | |
| -1 | -513,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,275.
Example:
1 x 513,275 = 513,275
and
-1 x -513,275 = 513,275
Notice both answers equal 513,275
With that explanation out of the way, let's continue. Next, we take the number 513,275 and divide it by 2:
513,275 ÷ 2 = 256,637.5
If the quotient is a whole number, then 2 and 256,637.5 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 | 513,275 | |
| -1 | -513,275 |
Now, we try dividing 513,275 by 3:
513,275 ÷ 3 = 171,091.6667
If the quotient is a whole number, then 3 and 171,091.6667 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 | 513,275 | |
| -1 | -513,275 |
Let's try dividing by 4:
513,275 ÷ 4 = 128,318.75
If the quotient is a whole number, then 4 and 128,318.75 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 | 513,275 | |
| -1 | 513,275 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 419 | 1,225 | 2,095 | 2,933 | 10,475 | 14,665 | 20,531 | 73,325 | 102,655 | 513,275 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -419 | -1,225 | -2,095 | -2,933 | -10,475 | -14,665 | -20,531 | -73,325 | -102,655 | -513,275 |
Here are some more numbers to try:
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