A:
Positive:
1 x 304330255 x 60866057 x 434757523 x 132317525 x 121732135 x 869515115 x 264635161 x 189025175 x 173903575 x 52927805 x 378054025 x 7561
Negative:
-1 x -30433025-5 x -6086605-7 x -4347575-23 x -1323175-25 x -1217321-35 x -869515-115 x -264635-161 x -189025-175 x -173903-575 x -52927-805 x -37805-4025 x -7561
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 30,433,025, 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 | 30,433,025 | |
| -1 | -30,433,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,433,025.
Example:
1 x 30,433,025 = 30,433,025
and
-1 x -30,433,025 = 30,433,025
Notice both answers equal 30,433,025
With that explanation out of the way, let's continue. Next, we take the number 30,433,025 and divide it by 2:
30,433,025 ÷ 2 = 15,216,512.5
If the quotient is a whole number, then 2 and 15,216,512.5 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 | 30,433,025 | |
| -1 | -30,433,025 |
Now, we try dividing 30,433,025 by 3:
30,433,025 ÷ 3 = 10,144,341.6667
If the quotient is a whole number, then 3 and 10,144,341.6667 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 | 30,433,025 | |
| -1 | -30,433,025 |
Let's try dividing by 4:
30,433,025 ÷ 4 = 7,608,256.25
If the quotient is a whole number, then 4 and 7,608,256.25 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 | 30,433,025 | |
| -1 | 30,433,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 23 | 25 | 35 | 115 | 161 | 175 | 575 | 805 | 4,025 | 7,561 | 37,805 | 52,927 | 173,903 | 189,025 | 264,635 | 869,515 | 1,217,321 | 1,323,175 | 4,347,575 | 6,086,605 | 30,433,025 |
| -1 | -5 | -7 | -23 | -25 | -35 | -115 | -161 | -175 | -575 | -805 | -4,025 | -7,561 | -37,805 | -52,927 | -173,903 | -189,025 | -264,635 | -869,515 | -1,217,321 | -1,323,175 | -4,347,575 | -6,086,605 | -30,433,025 |
Here are some more numbers to try:
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