A:
Positive:
1 x 5060315655 x 10120631313 x 3892550565 x 7785101149 x 3396185745 x 6792371937 x 2612459685 x 52249
Negative:
-1 x -506031565-5 x -101206313-13 x -38925505-65 x -7785101-149 x -3396185-745 x -679237-1937 x -261245-9685 x -52249
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 506,031,565, 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 | 506,031,565 | |
| -1 | -506,031,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,031,565.
Example:
1 x 506,031,565 = 506,031,565
and
-1 x -506,031,565 = 506,031,565
Notice both answers equal 506,031,565
With that explanation out of the way, let's continue. Next, we take the number 506,031,565 and divide it by 2:
506,031,565 ÷ 2 = 253,015,782.5
If the quotient is a whole number, then 2 and 253,015,782.5 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 | 506,031,565 | |
| -1 | -506,031,565 |
Now, we try dividing 506,031,565 by 3:
506,031,565 ÷ 3 = 168,677,188.3333
If the quotient is a whole number, then 3 and 168,677,188.3333 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 | 506,031,565 | |
| -1 | -506,031,565 |
Let's try dividing by 4:
506,031,565 ÷ 4 = 126,507,891.25
If the quotient is a whole number, then 4 and 126,507,891.25 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 | 506,031,565 | |
| -1 | 506,031,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 149 | 745 | 1,937 | 9,685 | 52,249 | 261,245 | 679,237 | 3,396,185 | 7,785,101 | 38,925,505 | 101,206,313 | 506,031,565 |
| -1 | -5 | -13 | -65 | -149 | -745 | -1,937 | -9,685 | -52,249 | -261,245 | -679,237 | -3,396,185 | -7,785,101 | -38,925,505 | -101,206,313 | -506,031,565 |
Here are some more numbers to try:
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