A:
Positive:
1 x 2143023197 x 3061461711 x 1948202977 x 2783147677 x 3165474111 x 521294739 x 452217447 x 28777
Negative:
-1 x -214302319-7 x -30614617-11 x -19482029-77 x -2783147-677 x -316547-4111 x -52129-4739 x -45221-7447 x -28777
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 214,302,319, 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 | 214,302,319 | |
| -1 | -214,302,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,302,319.
Example:
1 x 214,302,319 = 214,302,319
and
-1 x -214,302,319 = 214,302,319
Notice both answers equal 214,302,319
With that explanation out of the way, let's continue. Next, we take the number 214,302,319 and divide it by 2:
214,302,319 ÷ 2 = 107,151,159.5
If the quotient is a whole number, then 2 and 107,151,159.5 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 | 214,302,319 | |
| -1 | -214,302,319 |
Now, we try dividing 214,302,319 by 3:
214,302,319 ÷ 3 = 71,434,106.3333
If the quotient is a whole number, then 3 and 71,434,106.3333 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 | 214,302,319 | |
| -1 | -214,302,319 |
Let's try dividing by 4:
214,302,319 ÷ 4 = 53,575,579.75
If the quotient is a whole number, then 4 and 53,575,579.75 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 | 214,302,319 | |
| -1 | 214,302,319 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 677 | 4,111 | 4,739 | 7,447 | 28,777 | 45,221 | 52,129 | 316,547 | 2,783,147 | 19,482,029 | 30,614,617 | 214,302,319 |
| -1 | -7 | -11 | -77 | -677 | -4,111 | -4,739 | -7,447 | -28,777 | -45,221 | -52,129 | -316,547 | -2,783,147 | -19,482,029 | -30,614,617 | -214,302,319 |
Here are some more numbers to try:
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