A:
Positive:
1 x 46235102317 x 27197119149 x 3103027167 x 27685691093 x 4230112533 x 1825312839 x 16285718581 x 24883
Negative:
-1 x -462351023-17 x -27197119-149 x -3103027-167 x -2768569-1093 x -423011-2533 x -182531-2839 x -162857-18581 x -24883
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 462,351,023, 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 | 462,351,023 | |
| -1 | -462,351,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 462,351,023.
Example:
1 x 462,351,023 = 462,351,023
and
-1 x -462,351,023 = 462,351,023
Notice both answers equal 462,351,023
With that explanation out of the way, let's continue. Next, we take the number 462,351,023 and divide it by 2:
462,351,023 ÷ 2 = 231,175,511.5
If the quotient is a whole number, then 2 and 231,175,511.5 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 | 462,351,023 | |
| -1 | -462,351,023 |
Now, we try dividing 462,351,023 by 3:
462,351,023 ÷ 3 = 154,117,007.6667
If the quotient is a whole number, then 3 and 154,117,007.6667 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 | 462,351,023 | |
| -1 | -462,351,023 |
Let's try dividing by 4:
462,351,023 ÷ 4 = 115,587,755.75
If the quotient is a whole number, then 4 and 115,587,755.75 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 | 462,351,023 | |
| -1 | 462,351,023 |
If you did it right, you will end up with this table:
| 1 | 17 | 149 | 167 | 1,093 | 2,533 | 2,839 | 18,581 | 24,883 | 162,857 | 182,531 | 423,011 | 2,768,569 | 3,103,027 | 27,197,119 | 462,351,023 |
| -1 | -17 | -149 | -167 | -1,093 | -2,533 | -2,839 | -18,581 | -24,883 | -162,857 | -182,531 | -423,011 | -2,768,569 | -3,103,027 | -27,197,119 | -462,351,023 |
Here are some more numbers to try:
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