A:
Positive:
1 x 4005321655 x 8010643311 x 3641201555 x 7282403101 x 3965665505 x 7931331111 x 3605155555 x 72103
Negative:
-1 x -400532165-5 x -80106433-11 x -36412015-55 x -7282403-101 x -3965665-505 x -793133-1111 x -360515-5555 x -72103
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 400,532,165, 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 | 400,532,165 | |
| -1 | -400,532,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,532,165.
Example:
1 x 400,532,165 = 400,532,165
and
-1 x -400,532,165 = 400,532,165
Notice both answers equal 400,532,165
With that explanation out of the way, let's continue. Next, we take the number 400,532,165 and divide it by 2:
400,532,165 ÷ 2 = 200,266,082.5
If the quotient is a whole number, then 2 and 200,266,082.5 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 | 400,532,165 | |
| -1 | -400,532,165 |
Now, we try dividing 400,532,165 by 3:
400,532,165 ÷ 3 = 133,510,721.6667
If the quotient is a whole number, then 3 and 133,510,721.6667 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 | 400,532,165 | |
| -1 | -400,532,165 |
Let's try dividing by 4:
400,532,165 ÷ 4 = 100,133,041.25
If the quotient is a whole number, then 4 and 100,133,041.25 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 | 400,532,165 | |
| -1 | 400,532,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 101 | 505 | 1,111 | 5,555 | 72,103 | 360,515 | 793,133 | 3,965,665 | 7,282,403 | 36,412,015 | 80,106,433 | 400,532,165 |
| -1 | -5 | -11 | -55 | -101 | -505 | -1,111 | -5,555 | -72,103 | -360,515 | -793,133 | -3,965,665 | -7,282,403 | -36,412,015 | -80,106,433 | -400,532,165 |
Here are some more numbers to try:
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