A:
Positive:
1 x 36016226947 x 7663027109 x 3304241229 x 1572761307 x 11731675123 x 7030310763 x 3346314429 x 24961
Negative:
-1 x -360162269-47 x -7663027-109 x -3304241-229 x -1572761-307 x -1173167-5123 x -70303-10763 x -33463-14429 x -24961
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 360,162,269, 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 | 360,162,269 | |
| -1 | -360,162,269 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 360,162,269.
Example:
1 x 360,162,269 = 360,162,269
and
-1 x -360,162,269 = 360,162,269
Notice both answers equal 360,162,269
With that explanation out of the way, let's continue. Next, we take the number 360,162,269 and divide it by 2:
360,162,269 ÷ 2 = 180,081,134.5
If the quotient is a whole number, then 2 and 180,081,134.5 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 | 360,162,269 | |
| -1 | -360,162,269 |
Now, we try dividing 360,162,269 by 3:
360,162,269 ÷ 3 = 120,054,089.6667
If the quotient is a whole number, then 3 and 120,054,089.6667 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 | 360,162,269 | |
| -1 | -360,162,269 |
Let's try dividing by 4:
360,162,269 ÷ 4 = 90,040,567.25
If the quotient is a whole number, then 4 and 90,040,567.25 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 | 360,162,269 | |
| -1 | 360,162,269 |
If you did it right, you will end up with this table:
| 1 | 47 | 109 | 229 | 307 | 5,123 | 10,763 | 14,429 | 24,961 | 33,463 | 70,303 | 1,173,167 | 1,572,761 | 3,304,241 | 7,663,027 | 360,162,269 |
| -1 | -47 | -109 | -229 | -307 | -5,123 | -10,763 | -14,429 | -24,961 | -33,463 | -70,303 | -1,173,167 | -1,572,761 | -3,304,241 | -7,663,027 | -360,162,269 |
Here are some more numbers to try:
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