A:
Positive:
1 x 3606241737 x 5151773913 x 2774032149 x 735967789 x 405195791 x 3962903623 x 578851637 x 5661291157 x 3116894361 x 826936361 x 566938099 x 44527
Negative:
-1 x -360624173-7 x -51517739-13 x -27740321-49 x -7359677-89 x -4051957-91 x -3962903-623 x -578851-637 x -566129-1157 x -311689-4361 x -82693-6361 x -56693-8099 x -44527
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 360,624,173, 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 | 360,624,173 | |
| -1 | -360,624,173 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 360,624,173.
Example:
1 x 360,624,173 = 360,624,173
and
-1 x -360,624,173 = 360,624,173
Notice both answers equal 360,624,173
With that explanation out of the way, let's continue. Next, we take the number 360,624,173 and divide it by 2:
360,624,173 ÷ 2 = 180,312,086.5
If the quotient is a whole number, then 2 and 180,312,086.5 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 | 360,624,173 | |
| -1 | -360,624,173 |
Now, we try dividing 360,624,173 by 3:
360,624,173 ÷ 3 = 120,208,057.6667
If the quotient is a whole number, then 3 and 120,208,057.6667 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 | 360,624,173 | |
| -1 | -360,624,173 |
Let's try dividing by 4:
360,624,173 ÷ 4 = 90,156,043.25
If the quotient is a whole number, then 4 and 90,156,043.25 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 | 360,624,173 | |
| -1 | 360,624,173 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 89 | 91 | 623 | 637 | 1,157 | 4,361 | 6,361 | 8,099 | 44,527 | 56,693 | 82,693 | 311,689 | 566,129 | 578,851 | 3,962,903 | 4,051,957 | 7,359,677 | 27,740,321 | 51,517,739 | 360,624,173 |
| -1 | -7 | -13 | -49 | -89 | -91 | -623 | -637 | -1,157 | -4,361 | -6,361 | -8,099 | -44,527 | -56,693 | -82,693 | -311,689 | -566,129 | -578,851 | -3,962,903 | -4,051,957 | -7,359,677 | -27,740,321 | -51,517,739 | -360,624,173 |
Here are some more numbers to try:
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