A:
Positive:
1 x 2146140655 x 4292281329 x 740048567 x 3203195145 x 1480097335 x 6406391943 x 1104559715 x 22091
Negative:
-1 x -214614065-5 x -42922813-29 x -7400485-67 x -3203195-145 x -1480097-335 x -640639-1943 x -110455-9715 x -22091
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 214,614,065, 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 | 214,614,065 | |
| -1 | -214,614,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,614,065.
Example:
1 x 214,614,065 = 214,614,065
and
-1 x -214,614,065 = 214,614,065
Notice both answers equal 214,614,065
With that explanation out of the way, let's continue. Next, we take the number 214,614,065 and divide it by 2:
214,614,065 ÷ 2 = 107,307,032.5
If the quotient is a whole number, then 2 and 107,307,032.5 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 | 214,614,065 | |
| -1 | -214,614,065 |
Now, we try dividing 214,614,065 by 3:
214,614,065 ÷ 3 = 71,538,021.6667
If the quotient is a whole number, then 3 and 71,538,021.6667 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 | 214,614,065 | |
| -1 | -214,614,065 |
Let's try dividing by 4:
214,614,065 ÷ 4 = 53,653,516.25
If the quotient is a whole number, then 4 and 53,653,516.25 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 | 214,614,065 | |
| -1 | 214,614,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 67 | 145 | 335 | 1,943 | 9,715 | 22,091 | 110,455 | 640,639 | 1,480,097 | 3,203,195 | 7,400,485 | 42,922,813 | 214,614,065 |
| -1 | -5 | -29 | -67 | -145 | -335 | -1,943 | -9,715 | -22,091 | -110,455 | -640,639 | -1,480,097 | -3,203,195 | -7,400,485 | -42,922,813 | -214,614,065 |
Here are some more numbers to try:
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