A:
Positive:
1 x 141142337 x 201631917 x 83024983 x 170051119 x 118607581 x 242931411 x 100031429 x 9877
Negative:
-1 x -14114233-7 x -2016319-17 x -830249-83 x -170051-119 x -118607-581 x -24293-1411 x -10003-1429 x -9877
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 14,114,233, 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 | 14,114,233 | |
| -1 | -14,114,233 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 14,114,233.
Example:
1 x 14,114,233 = 14,114,233
and
-1 x -14,114,233 = 14,114,233
Notice both answers equal 14,114,233
With that explanation out of the way, let's continue. Next, we take the number 14,114,233 and divide it by 2:
14,114,233 ÷ 2 = 7,057,116.5
If the quotient is a whole number, then 2 and 7,057,116.5 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 | 14,114,233 | |
| -1 | -14,114,233 |
Now, we try dividing 14,114,233 by 3:
14,114,233 ÷ 3 = 4,704,744.3333
If the quotient is a whole number, then 3 and 4,704,744.3333 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 | 14,114,233 | |
| -1 | -14,114,233 |
Let's try dividing by 4:
14,114,233 ÷ 4 = 3,528,558.25
If the quotient is a whole number, then 4 and 3,528,558.25 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 | 14,114,233 | |
| -1 | 14,114,233 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 83 | 119 | 581 | 1,411 | 1,429 | 9,877 | 10,003 | 24,293 | 118,607 | 170,051 | 830,249 | 2,016,319 | 14,114,233 |
| -1 | -7 | -17 | -83 | -119 | -581 | -1,411 | -1,429 | -9,877 | -10,003 | -24,293 | -118,607 | -170,051 | -830,249 | -2,016,319 | -14,114,233 |
Here are some more numbers to try:
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