A:
Positive:
1 x 2141511055 x 428302217 x 3059301535 x 61186031301 x 1646054703 x 455356505 x 329219107 x 23515
Negative:
-1 x -214151105-5 x -42830221-7 x -30593015-35 x -6118603-1301 x -164605-4703 x -45535-6505 x -32921-9107 x -23515
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 214,151,105, 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 | 214,151,105 | |
| -1 | -214,151,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,151,105.
Example:
1 x 214,151,105 = 214,151,105
and
-1 x -214,151,105 = 214,151,105
Notice both answers equal 214,151,105
With that explanation out of the way, let's continue. Next, we take the number 214,151,105 and divide it by 2:
214,151,105 ÷ 2 = 107,075,552.5
If the quotient is a whole number, then 2 and 107,075,552.5 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 | 214,151,105 | |
| -1 | -214,151,105 |
Now, we try dividing 214,151,105 by 3:
214,151,105 ÷ 3 = 71,383,701.6667
If the quotient is a whole number, then 3 and 71,383,701.6667 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 | 214,151,105 | |
| -1 | -214,151,105 |
Let's try dividing by 4:
214,151,105 ÷ 4 = 53,537,776.25
If the quotient is a whole number, then 4 and 53,537,776.25 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 | 214,151,105 | |
| -1 | 214,151,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,301 | 4,703 | 6,505 | 9,107 | 23,515 | 32,921 | 45,535 | 164,605 | 6,118,603 | 30,593,015 | 42,830,221 | 214,151,105 |
| -1 | -5 | -7 | -35 | -1,301 | -4,703 | -6,505 | -9,107 | -23,515 | -32,921 | -45,535 | -164,605 | -6,118,603 | -30,593,015 | -42,830,221 | -214,151,105 |
Here are some more numbers to try:
Try the factor calculator