A:
Positive:
1 x 2111321455 x 422264297 x 3016173535 x 60323471297 x 1627854651 x 453956485 x 325579079 x 23255
Negative:
-1 x -211132145-5 x -42226429-7 x -30161735-35 x -6032347-1297 x -162785-4651 x -45395-6485 x -32557-9079 x -23255
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 211,132,145, 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 | 211,132,145 | |
| -1 | -211,132,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,132,145.
Example:
1 x 211,132,145 = 211,132,145
and
-1 x -211,132,145 = 211,132,145
Notice both answers equal 211,132,145
With that explanation out of the way, let's continue. Next, we take the number 211,132,145 and divide it by 2:
211,132,145 ÷ 2 = 105,566,072.5
If the quotient is a whole number, then 2 and 105,566,072.5 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 | 211,132,145 | |
| -1 | -211,132,145 |
Now, we try dividing 211,132,145 by 3:
211,132,145 ÷ 3 = 70,377,381.6667
If the quotient is a whole number, then 3 and 70,377,381.6667 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 | 211,132,145 | |
| -1 | -211,132,145 |
Let's try dividing by 4:
211,132,145 ÷ 4 = 52,783,036.25
If the quotient is a whole number, then 4 and 52,783,036.25 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 | 211,132,145 | |
| -1 | 211,132,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,297 | 4,651 | 6,485 | 9,079 | 23,255 | 32,557 | 45,395 | 162,785 | 6,032,347 | 30,161,735 | 42,226,429 | 211,132,145 |
| -1 | -5 | -7 | -35 | -1,297 | -4,651 | -6,485 | -9,079 | -23,255 | -32,557 | -45,395 | -162,785 | -6,032,347 | -30,161,735 | -42,226,429 | -211,132,145 |
Here are some more numbers to try:
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