A:
Positive:
1 x 30041051313 x 2310850143 x 698629167 x 4483739169 x 1777577559 x 537407617 x 486889871 x 3449032881 x 1042737267 x 413398021 x 3745311323 x 26531
Negative:
-1 x -300410513-13 x -23108501-43 x -6986291-67 x -4483739-169 x -1777577-559 x -537407-617 x -486889-871 x -344903-2881 x -104273-7267 x -41339-8021 x -37453-11323 x -26531
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 300,410,513, 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 | 300,410,513 | |
| -1 | -300,410,513 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,410,513.
Example:
1 x 300,410,513 = 300,410,513
and
-1 x -300,410,513 = 300,410,513
Notice both answers equal 300,410,513
With that explanation out of the way, let's continue. Next, we take the number 300,410,513 and divide it by 2:
300,410,513 ÷ 2 = 150,205,256.5
If the quotient is a whole number, then 2 and 150,205,256.5 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 | 300,410,513 | |
| -1 | -300,410,513 |
Now, we try dividing 300,410,513 by 3:
300,410,513 ÷ 3 = 100,136,837.6667
If the quotient is a whole number, then 3 and 100,136,837.6667 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 | 300,410,513 | |
| -1 | -300,410,513 |
Let's try dividing by 4:
300,410,513 ÷ 4 = 75,102,628.25
If the quotient is a whole number, then 4 and 75,102,628.25 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 | 300,410,513 | |
| -1 | 300,410,513 |
If you did it right, you will end up with this table:
| 1 | 13 | 43 | 67 | 169 | 559 | 617 | 871 | 2,881 | 7,267 | 8,021 | 11,323 | 26,531 | 37,453 | 41,339 | 104,273 | 344,903 | 486,889 | 537,407 | 1,777,577 | 4,483,739 | 6,986,291 | 23,108,501 | 300,410,513 |
| -1 | -13 | -43 | -67 | -169 | -559 | -617 | -871 | -2,881 | -7,267 | -8,021 | -11,323 | -26,531 | -37,453 | -41,339 | -104,273 | -344,903 | -486,889 | -537,407 | -1,777,577 | -4,483,739 | -6,986,291 | -23,108,501 | -300,410,513 |
Here are some more numbers to try:
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