A:
Positive:
1 x 5006673655 x 10013347311 x 4551521555 x 9103043463 x 10813552315 x 2162715093 x 9830519661 x 25465
Negative:
-1 x -500667365-5 x -100133473-11 x -45515215-55 x -9103043-463 x -1081355-2315 x -216271-5093 x -98305-19661 x -25465
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 500,667,365, 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 | 500,667,365 | |
| -1 | -500,667,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,667,365.
Example:
1 x 500,667,365 = 500,667,365
and
-1 x -500,667,365 = 500,667,365
Notice both answers equal 500,667,365
With that explanation out of the way, let's continue. Next, we take the number 500,667,365 and divide it by 2:
500,667,365 ÷ 2 = 250,333,682.5
If the quotient is a whole number, then 2 and 250,333,682.5 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 | 500,667,365 | |
| -1 | -500,667,365 |
Now, we try dividing 500,667,365 by 3:
500,667,365 ÷ 3 = 166,889,121.6667
If the quotient is a whole number, then 3 and 166,889,121.6667 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 | 500,667,365 | |
| -1 | -500,667,365 |
Let's try dividing by 4:
500,667,365 ÷ 4 = 125,166,841.25
If the quotient is a whole number, then 4 and 125,166,841.25 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 | 500,667,365 | |
| -1 | 500,667,365 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 463 | 2,315 | 5,093 | 19,661 | 25,465 | 98,305 | 216,271 | 1,081,355 | 9,103,043 | 45,515,215 | 100,133,473 | 500,667,365 |
| -1 | -5 | -11 | -55 | -463 | -2,315 | -5,093 | -19,661 | -25,465 | -98,305 | -216,271 | -1,081,355 | -9,103,043 | -45,515,215 | -100,133,473 | -500,667,365 |
Here are some more numbers to try:
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