A:
Positive:
1 x 210726677 x 301038111 x 191569777 x 273671103 x 204589721 x 292271133 x 185992657 x 7931
Negative:
-1 x -21072667-7 x -3010381-11 x -1915697-77 x -273671-103 x -204589-721 x -29227-1133 x -18599-2657 x -7931
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 21,072,667, 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 | 21,072,667 | |
| -1 | -21,072,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,072,667.
Example:
1 x 21,072,667 = 21,072,667
and
-1 x -21,072,667 = 21,072,667
Notice both answers equal 21,072,667
With that explanation out of the way, let's continue. Next, we take the number 21,072,667 and divide it by 2:
21,072,667 ÷ 2 = 10,536,333.5
If the quotient is a whole number, then 2 and 10,536,333.5 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 | 21,072,667 | |
| -1 | -21,072,667 |
Now, we try dividing 21,072,667 by 3:
21,072,667 ÷ 3 = 7,024,222.3333
If the quotient is a whole number, then 3 and 7,024,222.3333 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 | 21,072,667 | |
| -1 | -21,072,667 |
Let's try dividing by 4:
21,072,667 ÷ 4 = 5,268,166.75
If the quotient is a whole number, then 4 and 5,268,166.75 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 | 21,072,667 | |
| -1 | 21,072,667 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 103 | 721 | 1,133 | 2,657 | 7,931 | 18,599 | 29,227 | 204,589 | 273,671 | 1,915,697 | 3,010,381 | 21,072,667 |
| -1 | -7 | -11 | -77 | -103 | -721 | -1,133 | -2,657 | -7,931 | -18,599 | -29,227 | -204,589 | -273,671 | -1,915,697 | -3,010,381 | -21,072,667 |
Here are some more numbers to try:
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