A:
Positive:
1 x 51461004111 x 4678273119 x 27084739209 x 2462249677 x 7601333637 x 1414937447 x 6910312863 x 40007
Negative:
-1 x -514610041-11 x -46782731-19 x -27084739-209 x -2462249-677 x -760133-3637 x -141493-7447 x -69103-12863 x -40007
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 514,610,041, 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 | 514,610,041 | |
| -1 | -514,610,041 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,610,041.
Example:
1 x 514,610,041 = 514,610,041
and
-1 x -514,610,041 = 514,610,041
Notice both answers equal 514,610,041
With that explanation out of the way, let's continue. Next, we take the number 514,610,041 and divide it by 2:
514,610,041 ÷ 2 = 257,305,020.5
If the quotient is a whole number, then 2 and 257,305,020.5 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 | 514,610,041 | |
| -1 | -514,610,041 |
Now, we try dividing 514,610,041 by 3:
514,610,041 ÷ 3 = 171,536,680.3333
If the quotient is a whole number, then 3 and 171,536,680.3333 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 | 514,610,041 | |
| -1 | -514,610,041 |
Let's try dividing by 4:
514,610,041 ÷ 4 = 128,652,510.25
If the quotient is a whole number, then 4 and 128,652,510.25 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 | 514,610,041 | |
| -1 | 514,610,041 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 677 | 3,637 | 7,447 | 12,863 | 40,007 | 69,103 | 141,493 | 760,133 | 2,462,249 | 27,084,739 | 46,782,731 | 514,610,041 |
| -1 | -11 | -19 | -209 | -677 | -3,637 | -7,447 | -12,863 | -40,007 | -69,103 | -141,493 | -760,133 | -2,462,249 | -27,084,739 | -46,782,731 | -514,610,041 |
Here are some more numbers to try:
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