A:
Positive:
1 x 2100002311 x 190909347 x 446809151 x 139073269 x 78067517 x 406191661 x 126432959 x 7097
Negative:
-1 x -21000023-11 x -1909093-47 x -446809-151 x -139073-269 x -78067-517 x -40619-1661 x -12643-2959 x -7097
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 21,000,023, 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 | 21,000,023 | |
| -1 | -21,000,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,000,023.
Example:
1 x 21,000,023 = 21,000,023
and
-1 x -21,000,023 = 21,000,023
Notice both answers equal 21,000,023
With that explanation out of the way, let's continue. Next, we take the number 21,000,023 and divide it by 2:
21,000,023 ÷ 2 = 10,500,011.5
If the quotient is a whole number, then 2 and 10,500,011.5 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 | 21,000,023 | |
| -1 | -21,000,023 |
Now, we try dividing 21,000,023 by 3:
21,000,023 ÷ 3 = 7,000,007.6667
If the quotient is a whole number, then 3 and 7,000,007.6667 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 | 21,000,023 | |
| -1 | -21,000,023 |
Let's try dividing by 4:
21,000,023 ÷ 4 = 5,250,005.75
If the quotient is a whole number, then 4 and 5,250,005.75 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 | 21,000,023 | |
| -1 | 21,000,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 47 | 151 | 269 | 517 | 1,661 | 2,959 | 7,097 | 12,643 | 40,619 | 78,067 | 139,073 | 446,809 | 1,909,093 | 21,000,023 |
| -1 | -11 | -47 | -151 | -269 | -517 | -1,661 | -2,959 | -7,097 | -12,643 | -40,619 | -78,067 | -139,073 | -446,809 | -1,909,093 | -21,000,023 |
Here are some more numbers to try:
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