A:
Positive:
1 x 5030102155 x 10060204347 x 10702345235 x 21404691013 x 4965552113 x 2380555065 x 9931110565 x 47611
Negative:
-1 x -503010215-5 x -100602043-47 x -10702345-235 x -2140469-1013 x -496555-2113 x -238055-5065 x -99311-10565 x -47611
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 503,010,215, 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 | 503,010,215 | |
| -1 | -503,010,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 503,010,215.
Example:
1 x 503,010,215 = 503,010,215
and
-1 x -503,010,215 = 503,010,215
Notice both answers equal 503,010,215
With that explanation out of the way, let's continue. Next, we take the number 503,010,215 and divide it by 2:
503,010,215 ÷ 2 = 251,505,107.5
If the quotient is a whole number, then 2 and 251,505,107.5 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 | 503,010,215 | |
| -1 | -503,010,215 |
Now, we try dividing 503,010,215 by 3:
503,010,215 ÷ 3 = 167,670,071.6667
If the quotient is a whole number, then 3 and 167,670,071.6667 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 | 503,010,215 | |
| -1 | -503,010,215 |
Let's try dividing by 4:
503,010,215 ÷ 4 = 125,752,553.75
If the quotient is a whole number, then 4 and 125,752,553.75 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 | 503,010,215 | |
| -1 | 503,010,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 1,013 | 2,113 | 5,065 | 10,565 | 47,611 | 99,311 | 238,055 | 496,555 | 2,140,469 | 10,702,345 | 100,602,043 | 503,010,215 |
| -1 | -5 | -47 | -235 | -1,013 | -2,113 | -5,065 | -10,565 | -47,611 | -99,311 | -238,055 | -496,555 | -2,140,469 | -10,702,345 | -100,602,043 | -503,010,215 |
Here are some more numbers to try:
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