A:
Positive:
1 x 514123197 x 734461741 x 125395949 x 1049231157 x 327467163 x 315413287 x 1791371099 x 467811141 x 450592009 x 255916437 x 79876683 x 7693
Negative:
-1 x -51412319-7 x -7344617-41 x -1253959-49 x -1049231-157 x -327467-163 x -315413-287 x -179137-1099 x -46781-1141 x -45059-2009 x -25591-6437 x -7987-6683 x -7693
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 51,412,319, 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 | 51,412,319 | |
| -1 | -51,412,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 51,412,319.
Example:
1 x 51,412,319 = 51,412,319
and
-1 x -51,412,319 = 51,412,319
Notice both answers equal 51,412,319
With that explanation out of the way, let's continue. Next, we take the number 51,412,319 and divide it by 2:
51,412,319 ÷ 2 = 25,706,159.5
If the quotient is a whole number, then 2 and 25,706,159.5 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 | 51,412,319 | |
| -1 | -51,412,319 |
Now, we try dividing 51,412,319 by 3:
51,412,319 ÷ 3 = 17,137,439.6667
If the quotient is a whole number, then 3 and 17,137,439.6667 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 | 51,412,319 | |
| -1 | -51,412,319 |
Let's try dividing by 4:
51,412,319 ÷ 4 = 12,853,079.75
If the quotient is a whole number, then 4 and 12,853,079.75 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 | 51,412,319 | |
| -1 | 51,412,319 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 49 | 157 | 163 | 287 | 1,099 | 1,141 | 2,009 | 6,437 | 6,683 | 7,693 | 7,987 | 25,591 | 45,059 | 46,781 | 179,137 | 315,413 | 327,467 | 1,049,231 | 1,253,959 | 7,344,617 | 51,412,319 |
| -1 | -7 | -41 | -49 | -157 | -163 | -287 | -1,099 | -1,141 | -2,009 | -6,437 | -6,683 | -7,693 | -7,987 | -25,591 | -45,059 | -46,781 | -179,137 | -315,413 | -327,467 | -1,049,231 | -1,253,959 | -7,344,617 | -51,412,319 |
Here are some more numbers to try:
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