A:
Positive:
1 x 1241423313 x 95494117 x 73024929 x 428077149 x 83317169 x 73457221 x 56173377 x 32929493 x 251811937 x 64092533 x 49012873 x 4321
Negative:
-1 x -12414233-13 x -954941-17 x -730249-29 x -428077-149 x -83317-169 x -73457-221 x -56173-377 x -32929-493 x -25181-1937 x -6409-2533 x -4901-2873 x -4321
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 12,414,233, 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 | 12,414,233 | |
| -1 | -12,414,233 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,414,233.
Example:
1 x 12,414,233 = 12,414,233
and
-1 x -12,414,233 = 12,414,233
Notice both answers equal 12,414,233
With that explanation out of the way, let's continue. Next, we take the number 12,414,233 and divide it by 2:
12,414,233 ÷ 2 = 6,207,116.5
If the quotient is a whole number, then 2 and 6,207,116.5 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 | 12,414,233 | |
| -1 | -12,414,233 |
Now, we try dividing 12,414,233 by 3:
12,414,233 ÷ 3 = 4,138,077.6667
If the quotient is a whole number, then 3 and 4,138,077.6667 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 | 12,414,233 | |
| -1 | -12,414,233 |
Let's try dividing by 4:
12,414,233 ÷ 4 = 3,103,558.25
If the quotient is a whole number, then 4 and 3,103,558.25 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 | 12,414,233 | |
| -1 | 12,414,233 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 29 | 149 | 169 | 221 | 377 | 493 | 1,937 | 2,533 | 2,873 | 4,321 | 4,901 | 6,409 | 25,181 | 32,929 | 56,173 | 73,457 | 83,317 | 428,077 | 730,249 | 954,941 | 12,414,233 |
| -1 | -13 | -17 | -29 | -149 | -169 | -221 | -377 | -493 | -1,937 | -2,533 | -2,873 | -4,321 | -4,901 | -6,409 | -25,181 | -32,929 | -56,173 | -73,457 | -83,317 | -428,077 | -730,249 | -954,941 | -12,414,233 |
Here are some more numbers to try:
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