A:
Positive:
1 x 122642 x 61323 x 40884 x 30666 x 20447 x 17528 x 153312 x 102214 x 87621 x 58424 x 51128 x 43842 x 29256 x 21973 x 16884 x 146
Negative:
-1 x -12264-2 x -6132-3 x -4088-4 x -3066-6 x -2044-7 x -1752-8 x -1533-12 x -1022-14 x -876-21 x -584-24 x -511-28 x -438-42 x -292-56 x -219-73 x -168-84 x -146
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 12,264, 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 | 12,264 | |
| -1 | -12,264 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,264.
Example:
1 x 12,264 = 12,264
and
-1 x -12,264 = 12,264
Notice both answers equal 12,264
With that explanation out of the way, let's continue. Next, we take the number 12,264 and divide it by 2:
12,264 ÷ 2 = 6,132
If the quotient is a whole number, then 2 and 6,132 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 6,132 | 12,264 | |
| -1 | -2 | -6,132 | -12,264 |
Now, we try dividing 12,264 by 3:
12,264 ÷ 3 = 4,088
If the quotient is a whole number, then 3 and 4,088 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 4,088 | 6,132 | 12,264 | |
| -1 | -2 | -3 | -4,088 | -6,132 | -12,264 |
Let's try dividing by 4:
12,264 ÷ 4 = 3,066
If the quotient is a whole number, then 4 and 3,066 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 4 | 3,066 | 4,088 | 6,132 | 12,264 | |
| -1 | -2 | -3 | -4 | -3,066 | -4,088 | -6,132 | 12,264 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 4 | 6 | 7 | 8 | 12 | 14 | 21 | 24 | 28 | 42 | 56 | 73 | 84 | 146 | 168 | 219 | 292 | 438 | 511 | 584 | 876 | 1,022 | 1,533 | 1,752 | 2,044 | 3,066 | 4,088 | 6,132 | 12,264 |
| -1 | -2 | -3 | -4 | -6 | -7 | -8 | -12 | -14 | -21 | -24 | -28 | -42 | -56 | -73 | -84 | -146 | -168 | -219 | -292 | -438 | -511 | -584 | -876 | -1,022 | -1,533 | -1,752 | -2,044 | -3,066 | -4,088 | -6,132 | -12,264 |
Here are some more numbers to try:
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