A:
Positive:
1 x 214142117 x 305917313 x 164724731 x 69078191 x 235321217 x 98683403 x 531372821 x 7591
Negative:
-1 x -21414211-7 x -3059173-13 x -1647247-31 x -690781-91 x -235321-217 x -98683-403 x -53137-2821 x -7591
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 21,414,211, 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 | 21,414,211 | |
| -1 | -21,414,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,414,211.
Example:
1 x 21,414,211 = 21,414,211
and
-1 x -21,414,211 = 21,414,211
Notice both answers equal 21,414,211
With that explanation out of the way, let's continue. Next, we take the number 21,414,211 and divide it by 2:
21,414,211 ÷ 2 = 10,707,105.5
If the quotient is a whole number, then 2 and 10,707,105.5 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 | 21,414,211 | |
| -1 | -21,414,211 |
Now, we try dividing 21,414,211 by 3:
21,414,211 ÷ 3 = 7,138,070.3333
If the quotient is a whole number, then 3 and 7,138,070.3333 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 | 21,414,211 | |
| -1 | -21,414,211 |
Let's try dividing by 4:
21,414,211 ÷ 4 = 5,353,552.75
If the quotient is a whole number, then 4 and 5,353,552.75 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 | 21,414,211 | |
| -1 | 21,414,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 31 | 91 | 217 | 403 | 2,821 | 7,591 | 53,137 | 98,683 | 235,321 | 690,781 | 1,647,247 | 3,059,173 | 21,414,211 |
| -1 | -7 | -13 | -31 | -91 | -217 | -403 | -2,821 | -7,591 | -53,137 | -98,683 | -235,321 | -690,781 | -1,647,247 | -3,059,173 | -21,414,211 |
Here are some more numbers to try:
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