A:
Positive:
1 x 21121404711 x 1920127729 x 7283243319 x 662113379 x 5572931747 x 1209014169 x 5066310991 x 19217
Negative:
-1 x -211214047-11 x -19201277-29 x -7283243-319 x -662113-379 x -557293-1747 x -120901-4169 x -50663-10991 x -19217
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 211,214,047, 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 | 211,214,047 | |
| -1 | -211,214,047 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,214,047.
Example:
1 x 211,214,047 = 211,214,047
and
-1 x -211,214,047 = 211,214,047
Notice both answers equal 211,214,047
With that explanation out of the way, let's continue. Next, we take the number 211,214,047 and divide it by 2:
211,214,047 ÷ 2 = 105,607,023.5
If the quotient is a whole number, then 2 and 105,607,023.5 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 | 211,214,047 | |
| -1 | -211,214,047 |
Now, we try dividing 211,214,047 by 3:
211,214,047 ÷ 3 = 70,404,682.3333
If the quotient is a whole number, then 3 and 70,404,682.3333 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 | 211,214,047 | |
| -1 | -211,214,047 |
Let's try dividing by 4:
211,214,047 ÷ 4 = 52,803,511.75
If the quotient is a whole number, then 4 and 52,803,511.75 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 | 211,214,047 | |
| -1 | 211,214,047 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 319 | 379 | 1,747 | 4,169 | 10,991 | 19,217 | 50,663 | 120,901 | 557,293 | 662,113 | 7,283,243 | 19,201,277 | 211,214,047 |
| -1 | -11 | -29 | -319 | -379 | -1,747 | -4,169 | -10,991 | -19,217 | -50,663 | -120,901 | -557,293 | -662,113 | -7,283,243 | -19,201,277 | -211,214,047 |
Here are some more numbers to try:
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