A:
Positive:
1 x 51432366711 x 4675669713 x 39563359143 x 3596669151 x 34061171661 x 3096471963 x 26200921593 x 23819
Negative:
-1 x -514323667-11 x -46756697-13 x -39563359-143 x -3596669-151 x -3406117-1661 x -309647-1963 x -262009-21593 x -23819
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 514,323,667, 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 | 514,323,667 | |
| -1 | -514,323,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,323,667.
Example:
1 x 514,323,667 = 514,323,667
and
-1 x -514,323,667 = 514,323,667
Notice both answers equal 514,323,667
With that explanation out of the way, let's continue. Next, we take the number 514,323,667 and divide it by 2:
514,323,667 ÷ 2 = 257,161,833.5
If the quotient is a whole number, then 2 and 257,161,833.5 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 | 514,323,667 | |
| -1 | -514,323,667 |
Now, we try dividing 514,323,667 by 3:
514,323,667 ÷ 3 = 171,441,222.3333
If the quotient is a whole number, then 3 and 171,441,222.3333 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 | 514,323,667 | |
| -1 | -514,323,667 |
Let's try dividing by 4:
514,323,667 ÷ 4 = 128,580,916.75
If the quotient is a whole number, then 4 and 128,580,916.75 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 | 514,323,667 | |
| -1 | 514,323,667 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 151 | 1,661 | 1,963 | 21,593 | 23,819 | 262,009 | 309,647 | 3,406,117 | 3,596,669 | 39,563,359 | 46,756,697 | 514,323,667 |
| -1 | -11 | -13 | -143 | -151 | -1,661 | -1,963 | -21,593 | -23,819 | -262,009 | -309,647 | -3,406,117 | -3,596,669 | -39,563,359 | -46,756,697 | -514,323,667 |
Here are some more numbers to try:
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