A:
Positive:
1 x 2145315137 x 3064735937 x 5798149259 x 828307463 x 4633511789 x 1199173241 x 6619312523 x 17131
Negative:
-1 x -214531513-7 x -30647359-37 x -5798149-259 x -828307-463 x -463351-1789 x -119917-3241 x -66193-12523 x -17131
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 214,531,513, 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 | 214,531,513 | |
| -1 | -214,531,513 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,531,513.
Example:
1 x 214,531,513 = 214,531,513
and
-1 x -214,531,513 = 214,531,513
Notice both answers equal 214,531,513
With that explanation out of the way, let's continue. Next, we take the number 214,531,513 and divide it by 2:
214,531,513 ÷ 2 = 107,265,756.5
If the quotient is a whole number, then 2 and 107,265,756.5 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 | 214,531,513 | |
| -1 | -214,531,513 |
Now, we try dividing 214,531,513 by 3:
214,531,513 ÷ 3 = 71,510,504.3333
If the quotient is a whole number, then 3 and 71,510,504.3333 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 | 214,531,513 | |
| -1 | -214,531,513 |
Let's try dividing by 4:
214,531,513 ÷ 4 = 53,632,878.25
If the quotient is a whole number, then 4 and 53,632,878.25 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 | 214,531,513 | |
| -1 | 214,531,513 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 463 | 1,789 | 3,241 | 12,523 | 17,131 | 66,193 | 119,917 | 463,351 | 828,307 | 5,798,149 | 30,647,359 | 214,531,513 |
| -1 | -7 | -37 | -259 | -463 | -1,789 | -3,241 | -12,523 | -17,131 | -66,193 | -119,917 | -463,351 | -828,307 | -5,798,149 | -30,647,359 | -214,531,513 |
Here are some more numbers to try:
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