A:
Positive:
1 x 510051017 x 728644319 x 2684479101 x 505001133 x 383497707 x 721431919 x 265793797 x 13433
Negative:
-1 x -51005101-7 x -7286443-19 x -2684479-101 x -505001-133 x -383497-707 x -72143-1919 x -26579-3797 x -13433
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 51,005,101, 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 | 51,005,101 | |
| -1 | -51,005,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 51,005,101.
Example:
1 x 51,005,101 = 51,005,101
and
-1 x -51,005,101 = 51,005,101
Notice both answers equal 51,005,101
With that explanation out of the way, let's continue. Next, we take the number 51,005,101 and divide it by 2:
51,005,101 ÷ 2 = 25,502,550.5
If the quotient is a whole number, then 2 and 25,502,550.5 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 | 51,005,101 | |
| -1 | -51,005,101 |
Now, we try dividing 51,005,101 by 3:
51,005,101 ÷ 3 = 17,001,700.3333
If the quotient is a whole number, then 3 and 17,001,700.3333 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 | 51,005,101 | |
| -1 | -51,005,101 |
Let's try dividing by 4:
51,005,101 ÷ 4 = 12,751,275.25
If the quotient is a whole number, then 4 and 12,751,275.25 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 | 51,005,101 | |
| -1 | 51,005,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 101 | 133 | 707 | 1,919 | 3,797 | 13,433 | 26,579 | 72,143 | 383,497 | 505,001 | 2,684,479 | 7,286,443 | 51,005,101 |
| -1 | -7 | -19 | -101 | -133 | -707 | -1,919 | -3,797 | -13,433 | -26,579 | -72,143 | -383,497 | -505,001 | -2,684,479 | -7,286,443 | -51,005,101 |
Here are some more numbers to try:
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