A:
Positive:
1 x 211320977 x 301887129 x 72869341 x 515417203 x 104099287 x 736311189 x 177732539 x 8323
Negative:
-1 x -21132097-7 x -3018871-29 x -728693-41 x -515417-203 x -104099-287 x -73631-1189 x -17773-2539 x -8323
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 21,132,097, 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 | 21,132,097 | |
| -1 | -21,132,097 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,132,097.
Example:
1 x 21,132,097 = 21,132,097
and
-1 x -21,132,097 = 21,132,097
Notice both answers equal 21,132,097
With that explanation out of the way, let's continue. Next, we take the number 21,132,097 and divide it by 2:
21,132,097 ÷ 2 = 10,566,048.5
If the quotient is a whole number, then 2 and 10,566,048.5 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 | 21,132,097 | |
| -1 | -21,132,097 |
Now, we try dividing 21,132,097 by 3:
21,132,097 ÷ 3 = 7,044,032.3333
If the quotient is a whole number, then 3 and 7,044,032.3333 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 | 21,132,097 | |
| -1 | -21,132,097 |
Let's try dividing by 4:
21,132,097 ÷ 4 = 5,283,024.25
If the quotient is a whole number, then 4 and 5,283,024.25 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 | 21,132,097 | |
| -1 | 21,132,097 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 41 | 203 | 287 | 1,189 | 2,539 | 8,323 | 17,773 | 73,631 | 104,099 | 515,417 | 728,693 | 3,018,871 | 21,132,097 |
| -1 | -7 | -29 | -41 | -203 | -287 | -1,189 | -2,539 | -8,323 | -17,773 | -73,631 | -104,099 | -515,417 | -728,693 | -3,018,871 | -21,132,097 |
Here are some more numbers to try:
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