A:
Positive:
1 x 2141324997 x 3059035749 x 4370051197 x 1086967343 x 6242931379 x 1552813169 x 675719653 x 22183
Negative:
-1 x -214132499-7 x -30590357-49 x -4370051-197 x -1086967-343 x -624293-1379 x -155281-3169 x -67571-9653 x -22183
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 214,132,499, 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 | 214,132,499 | |
| -1 | -214,132,499 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,132,499.
Example:
1 x 214,132,499 = 214,132,499
and
-1 x -214,132,499 = 214,132,499
Notice both answers equal 214,132,499
With that explanation out of the way, let's continue. Next, we take the number 214,132,499 and divide it by 2:
214,132,499 ÷ 2 = 107,066,249.5
If the quotient is a whole number, then 2 and 107,066,249.5 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 | 214,132,499 | |
| -1 | -214,132,499 |
Now, we try dividing 214,132,499 by 3:
214,132,499 ÷ 3 = 71,377,499.6667
If the quotient is a whole number, then 3 and 71,377,499.6667 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 | 214,132,499 | |
| -1 | -214,132,499 |
Let's try dividing by 4:
214,132,499 ÷ 4 = 53,533,124.75
If the quotient is a whole number, then 4 and 53,533,124.75 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 | 214,132,499 | |
| -1 | 214,132,499 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 197 | 343 | 1,379 | 3,169 | 9,653 | 22,183 | 67,571 | 155,281 | 624,293 | 1,086,967 | 4,370,051 | 30,590,357 | 214,132,499 |
| -1 | -7 | -49 | -197 | -343 | -1,379 | -3,169 | -9,653 | -22,183 | -67,571 | -155,281 | -624,293 | -1,086,967 | -4,370,051 | -30,590,357 | -214,132,499 |
Here are some more numbers to try:
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