A:
Positive:
1 x 1466334255 x 2932668525 x 586533729 x 505632541 x 3576425145 x 1011265205 x 715285725 x 2022531025 x 1430571189 x 1233254933 x 297255945 x 24665
Negative:
-1 x -146633425-5 x -29326685-25 x -5865337-29 x -5056325-41 x -3576425-145 x -1011265-205 x -715285-725 x -202253-1025 x -143057-1189 x -123325-4933 x -29725-5945 x -24665
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 146,633,425, 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 | 146,633,425 | |
| -1 | -146,633,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,633,425.
Example:
1 x 146,633,425 = 146,633,425
and
-1 x -146,633,425 = 146,633,425
Notice both answers equal 146,633,425
With that explanation out of the way, let's continue. Next, we take the number 146,633,425 and divide it by 2:
146,633,425 ÷ 2 = 73,316,712.5
If the quotient is a whole number, then 2 and 73,316,712.5 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 | 146,633,425 | |
| -1 | -146,633,425 |
Now, we try dividing 146,633,425 by 3:
146,633,425 ÷ 3 = 48,877,808.3333
If the quotient is a whole number, then 3 and 48,877,808.3333 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 | 146,633,425 | |
| -1 | -146,633,425 |
Let's try dividing by 4:
146,633,425 ÷ 4 = 36,658,356.25
If the quotient is a whole number, then 4 and 36,658,356.25 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 | 146,633,425 | |
| -1 | 146,633,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 41 | 145 | 205 | 725 | 1,025 | 1,189 | 4,933 | 5,945 | 24,665 | 29,725 | 123,325 | 143,057 | 202,253 | 715,285 | 1,011,265 | 3,576,425 | 5,056,325 | 5,865,337 | 29,326,685 | 146,633,425 |
| -1 | -5 | -25 | -29 | -41 | -145 | -205 | -725 | -1,025 | -1,189 | -4,933 | -5,945 | -24,665 | -29,725 | -123,325 | -143,057 | -202,253 | -715,285 | -1,011,265 | -3,576,425 | -5,056,325 | -5,865,337 | -29,326,685 | -146,633,425 |
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