A:
Positive:
1 x 5063464455 x 10126928911 x 4603149517 x 2978508555 x 920629985 x 5957017187 x 2707735935 x 541547
Negative:
-1 x -506346445-5 x -101269289-11 x -46031495-17 x -29785085-55 x -9206299-85 x -5957017-187 x -2707735-935 x -541547
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 506,346,445, 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 | 506,346,445 | |
| -1 | -506,346,445 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,346,445.
Example:
1 x 506,346,445 = 506,346,445
and
-1 x -506,346,445 = 506,346,445
Notice both answers equal 506,346,445
With that explanation out of the way, let's continue. Next, we take the number 506,346,445 and divide it by 2:
506,346,445 ÷ 2 = 253,173,222.5
If the quotient is a whole number, then 2 and 253,173,222.5 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 | 506,346,445 | |
| -1 | -506,346,445 |
Now, we try dividing 506,346,445 by 3:
506,346,445 ÷ 3 = 168,782,148.3333
If the quotient is a whole number, then 3 and 168,782,148.3333 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 | 506,346,445 | |
| -1 | -506,346,445 |
Let's try dividing by 4:
506,346,445 ÷ 4 = 126,586,611.25
If the quotient is a whole number, then 4 and 126,586,611.25 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 | 506,346,445 | |
| -1 | 506,346,445 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 55 | 85 | 187 | 935 | 541,547 | 2,707,735 | 5,957,017 | 9,206,299 | 29,785,085 | 46,031,495 | 101,269,289 | 506,346,445 |
| -1 | -5 | -11 | -17 | -55 | -85 | -187 | -935 | -541,547 | -2,707,735 | -5,957,017 | -9,206,299 | -29,785,085 | -46,031,495 | -101,269,289 | -506,346,445 |
Here are some more numbers to try:
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