A:
Positive:
1 x 21453151717 x 12619501113 x 1898509181 x 1185257617 x 3477011921 x 1116773077 x 6972110489 x 20453
Negative:
-1 x -214531517-17 x -12619501-113 x -1898509-181 x -1185257-617 x -347701-1921 x -111677-3077 x -69721-10489 x -20453
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 214,531,517, 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 | 214,531,517 | |
| -1 | -214,531,517 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,531,517.
Example:
1 x 214,531,517 = 214,531,517
and
-1 x -214,531,517 = 214,531,517
Notice both answers equal 214,531,517
With that explanation out of the way, let's continue. Next, we take the number 214,531,517 and divide it by 2:
214,531,517 ÷ 2 = 107,265,758.5
If the quotient is a whole number, then 2 and 107,265,758.5 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 | 214,531,517 | |
| -1 | -214,531,517 |
Now, we try dividing 214,531,517 by 3:
214,531,517 ÷ 3 = 71,510,505.6667
If the quotient is a whole number, then 3 and 71,510,505.6667 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 | 214,531,517 | |
| -1 | -214,531,517 |
Let's try dividing by 4:
214,531,517 ÷ 4 = 53,632,879.25
If the quotient is a whole number, then 4 and 53,632,879.25 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 | 214,531,517 | |
| -1 | 214,531,517 |
If you did it right, you will end up with this table:
| 1 | 17 | 113 | 181 | 617 | 1,921 | 3,077 | 10,489 | 20,453 | 69,721 | 111,677 | 347,701 | 1,185,257 | 1,898,509 | 12,619,501 | 214,531,517 |
| -1 | -17 | -113 | -181 | -617 | -1,921 | -3,077 | -10,489 | -20,453 | -69,721 | -111,677 | -347,701 | -1,185,257 | -1,898,509 | -12,619,501 | -214,531,517 |
Here are some more numbers to try:
Try the factor calculator