A:
Positive:
1 x 123465255 x 246930525 x 49386131 x 39827589 x 138725155 x 79655179 x 68975445 x 27745775 x 15931895 x 137952225 x 55492759 x 4475
Negative:
-1 x -12346525-5 x -2469305-25 x -493861-31 x -398275-89 x -138725-155 x -79655-179 x -68975-445 x -27745-775 x -15931-895 x -13795-2225 x -5549-2759 x -4475
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 12,346,525, 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 | 12,346,525 | |
| -1 | -12,346,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,346,525.
Example:
1 x 12,346,525 = 12,346,525
and
-1 x -12,346,525 = 12,346,525
Notice both answers equal 12,346,525
With that explanation out of the way, let's continue. Next, we take the number 12,346,525 and divide it by 2:
12,346,525 ÷ 2 = 6,173,262.5
If the quotient is a whole number, then 2 and 6,173,262.5 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 | 12,346,525 | |
| -1 | -12,346,525 |
Now, we try dividing 12,346,525 by 3:
12,346,525 ÷ 3 = 4,115,508.3333
If the quotient is a whole number, then 3 and 4,115,508.3333 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 | 12,346,525 | |
| -1 | -12,346,525 |
Let's try dividing by 4:
12,346,525 ÷ 4 = 3,086,631.25
If the quotient is a whole number, then 4 and 3,086,631.25 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 | 12,346,525 | |
| -1 | 12,346,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 89 | 155 | 179 | 445 | 775 | 895 | 2,225 | 2,759 | 4,475 | 5,549 | 13,795 | 15,931 | 27,745 | 68,975 | 79,655 | 138,725 | 398,275 | 493,861 | 2,469,305 | 12,346,525 |
| -1 | -5 | -25 | -31 | -89 | -155 | -179 | -445 | -775 | -895 | -2,225 | -2,759 | -4,475 | -5,549 | -13,795 | -15,931 | -27,745 | -68,975 | -79,655 | -138,725 | -398,275 | -493,861 | -2,469,305 | -12,346,525 |
Here are some more numbers to try:
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