A:
Positive:
1 x 126090255 x 252180511 x 114627513 x 96992525 x 50436155 x 22925565 x 193985143 x 88175275 x 45851325 x 38797715 x 176353527 x 3575
Negative:
-1 x -12609025-5 x -2521805-11 x -1146275-13 x -969925-25 x -504361-55 x -229255-65 x -193985-143 x -88175-275 x -45851-325 x -38797-715 x -17635-3527 x -3575
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 12,609,025, 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 | 12,609,025 | |
| -1 | -12,609,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,609,025.
Example:
1 x 12,609,025 = 12,609,025
and
-1 x -12,609,025 = 12,609,025
Notice both answers equal 12,609,025
With that explanation out of the way, let's continue. Next, we take the number 12,609,025 and divide it by 2:
12,609,025 ÷ 2 = 6,304,512.5
If the quotient is a whole number, then 2 and 6,304,512.5 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 | 12,609,025 | |
| -1 | -12,609,025 |
Now, we try dividing 12,609,025 by 3:
12,609,025 ÷ 3 = 4,203,008.3333
If the quotient is a whole number, then 3 and 4,203,008.3333 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 | 12,609,025 | |
| -1 | -12,609,025 |
Let's try dividing by 4:
12,609,025 ÷ 4 = 3,152,256.25
If the quotient is a whole number, then 4 and 3,152,256.25 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 | 12,609,025 | |
| -1 | 12,609,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 25 | 55 | 65 | 143 | 275 | 325 | 715 | 3,527 | 3,575 | 17,635 | 38,797 | 45,851 | 88,175 | 193,985 | 229,255 | 504,361 | 969,925 | 1,146,275 | 2,521,805 | 12,609,025 |
| -1 | -5 | -11 | -13 | -25 | -55 | -65 | -143 | -275 | -325 | -715 | -3,527 | -3,575 | -17,635 | -38,797 | -45,851 | -88,175 | -193,985 | -229,255 | -504,361 | -969,925 | -1,146,275 | -2,521,805 | -12,609,025 |
Here are some more numbers to try:
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