A:
Positive:
1 x 1463071617 x 2090102311 x 1330065113 x 1125439777 x 190009391 x 1607771143 x 10231271001 x 146161
Negative:
-1 x -146307161-7 x -20901023-11 x -13300651-13 x -11254397-77 x -1900093-91 x -1607771-143 x -1023127-1001 x -146161
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 146,307,161, 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 | 146,307,161 | |
| -1 | -146,307,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,307,161.
Example:
1 x 146,307,161 = 146,307,161
and
-1 x -146,307,161 = 146,307,161
Notice both answers equal 146,307,161
With that explanation out of the way, let's continue. Next, we take the number 146,307,161 and divide it by 2:
146,307,161 ÷ 2 = 73,153,580.5
If the quotient is a whole number, then 2 and 73,153,580.5 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 | 146,307,161 | |
| -1 | -146,307,161 |
Now, we try dividing 146,307,161 by 3:
146,307,161 ÷ 3 = 48,769,053.6667
If the quotient is a whole number, then 3 and 48,769,053.6667 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 | 146,307,161 | |
| -1 | -146,307,161 |
Let's try dividing by 4:
146,307,161 ÷ 4 = 36,576,790.25
If the quotient is a whole number, then 4 and 36,576,790.25 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 | 146,307,161 | |
| -1 | 146,307,161 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 146,161 | 1,023,127 | 1,607,771 | 1,900,093 | 11,254,397 | 13,300,651 | 20,901,023 | 146,307,161 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -146,161 | -1,023,127 | -1,607,771 | -1,900,093 | -11,254,397 | -13,300,651 | -20,901,023 | -146,307,161 |
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