A:
Positive:
1 x 36571750931 x 1179733937 x 988425761 x 59953691147 x 3188471891 x 1933992257 x 1620375227 x 69967
Negative:
-1 x -365717509-31 x -11797339-37 x -9884257-61 x -5995369-1147 x -318847-1891 x -193399-2257 x -162037-5227 x -69967
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 365,717,509, 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 | 365,717,509 | |
| -1 | -365,717,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 365,717,509.
Example:
1 x 365,717,509 = 365,717,509
and
-1 x -365,717,509 = 365,717,509
Notice both answers equal 365,717,509
With that explanation out of the way, let's continue. Next, we take the number 365,717,509 and divide it by 2:
365,717,509 ÷ 2 = 182,858,754.5
If the quotient is a whole number, then 2 and 182,858,754.5 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 | 365,717,509 | |
| -1 | -365,717,509 |
Now, we try dividing 365,717,509 by 3:
365,717,509 ÷ 3 = 121,905,836.3333
If the quotient is a whole number, then 3 and 121,905,836.3333 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 | 365,717,509 | |
| -1 | -365,717,509 |
Let's try dividing by 4:
365,717,509 ÷ 4 = 91,429,377.25
If the quotient is a whole number, then 4 and 91,429,377.25 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 | 365,717,509 | |
| -1 | 365,717,509 |
If you did it right, you will end up with this table:
| 1 | 31 | 37 | 61 | 1,147 | 1,891 | 2,257 | 5,227 | 69,967 | 162,037 | 193,399 | 318,847 | 5,995,369 | 9,884,257 | 11,797,339 | 365,717,509 |
| -1 | -31 | -37 | -61 | -1,147 | -1,891 | -2,257 | -5,227 | -69,967 | -162,037 | -193,399 | -318,847 | -5,995,369 | -9,884,257 | -11,797,339 | -365,717,509 |
Here are some more numbers to try:
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