A:
Positive:
1 x 2303251517 x 3290359323 x 10014137161 x 14305911103 x 2088171297 x 1775837721 x 298319079 x 25369
Negative:
-1 x -230325151-7 x -32903593-23 x -10014137-161 x -1430591-1103 x -208817-1297 x -177583-7721 x -29831-9079 x -25369
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 230,325,151, 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 | 230,325,151 | |
| -1 | -230,325,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 230,325,151.
Example:
1 x 230,325,151 = 230,325,151
and
-1 x -230,325,151 = 230,325,151
Notice both answers equal 230,325,151
With that explanation out of the way, let's continue. Next, we take the number 230,325,151 and divide it by 2:
230,325,151 ÷ 2 = 115,162,575.5
If the quotient is a whole number, then 2 and 115,162,575.5 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 | 230,325,151 | |
| -1 | -230,325,151 |
Now, we try dividing 230,325,151 by 3:
230,325,151 ÷ 3 = 76,775,050.3333
If the quotient is a whole number, then 3 and 76,775,050.3333 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 | 230,325,151 | |
| -1 | -230,325,151 |
Let's try dividing by 4:
230,325,151 ÷ 4 = 57,581,287.75
If the quotient is a whole number, then 4 and 57,581,287.75 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 | 230,325,151 | |
| -1 | 230,325,151 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 1,103 | 1,297 | 7,721 | 9,079 | 25,369 | 29,831 | 177,583 | 208,817 | 1,430,591 | 10,014,137 | 32,903,593 | 230,325,151 |
| -1 | -7 | -23 | -161 | -1,103 | -1,297 | -7,721 | -9,079 | -25,369 | -29,831 | -177,583 | -208,817 | -1,430,591 | -10,014,137 | -32,903,593 | -230,325,151 |
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