A:
Positive:
1 x 3651466497 x 52163807131 x 2787379233 x 1567153917 x 3981971631 x 2238791709 x 21366111963 x 30523
Negative:
-1 x -365146649-7 x -52163807-131 x -2787379-233 x -1567153-917 x -398197-1631 x -223879-1709 x -213661-11963 x -30523
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 365,146,649, 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 | 365,146,649 | |
| -1 | -365,146,649 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 365,146,649.
Example:
1 x 365,146,649 = 365,146,649
and
-1 x -365,146,649 = 365,146,649
Notice both answers equal 365,146,649
With that explanation out of the way, let's continue. Next, we take the number 365,146,649 and divide it by 2:
365,146,649 ÷ 2 = 182,573,324.5
If the quotient is a whole number, then 2 and 182,573,324.5 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 | 365,146,649 | |
| -1 | -365,146,649 |
Now, we try dividing 365,146,649 by 3:
365,146,649 ÷ 3 = 121,715,549.6667
If the quotient is a whole number, then 3 and 121,715,549.6667 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 | 365,146,649 | |
| -1 | -365,146,649 |
Let's try dividing by 4:
365,146,649 ÷ 4 = 91,286,662.25
If the quotient is a whole number, then 4 and 91,286,662.25 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 | 365,146,649 | |
| -1 | 365,146,649 |
If you did it right, you will end up with this table:
| 1 | 7 | 131 | 233 | 917 | 1,631 | 1,709 | 11,963 | 30,523 | 213,661 | 223,879 | 398,197 | 1,567,153 | 2,787,379 | 52,163,807 | 365,146,649 |
| -1 | -7 | -131 | -233 | -917 | -1,631 | -1,709 | -11,963 | -30,523 | -213,661 | -223,879 | -398,197 | -1,567,153 | -2,787,379 | -52,163,807 | -365,146,649 |
Here are some more numbers to try:
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