A:
Positive:
1 x 21402576717 x 1258975131 x 6904057101 x 2119067527 x 4061211717 x 1246513131 x 683574021 x 53227
Negative:
-1 x -214025767-17 x -12589751-31 x -6904057-101 x -2119067-527 x -406121-1717 x -124651-3131 x -68357-4021 x -53227
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 214,025,767, 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 | 214,025,767 | |
| -1 | -214,025,767 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,025,767.
Example:
1 x 214,025,767 = 214,025,767
and
-1 x -214,025,767 = 214,025,767
Notice both answers equal 214,025,767
With that explanation out of the way, let's continue. Next, we take the number 214,025,767 and divide it by 2:
214,025,767 ÷ 2 = 107,012,883.5
If the quotient is a whole number, then 2 and 107,012,883.5 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 | 214,025,767 | |
| -1 | -214,025,767 |
Now, we try dividing 214,025,767 by 3:
214,025,767 ÷ 3 = 71,341,922.3333
If the quotient is a whole number, then 3 and 71,341,922.3333 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 | 214,025,767 | |
| -1 | -214,025,767 |
Let's try dividing by 4:
214,025,767 ÷ 4 = 53,506,441.75
If the quotient is a whole number, then 4 and 53,506,441.75 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 | 214,025,767 | |
| -1 | 214,025,767 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 101 | 527 | 1,717 | 3,131 | 4,021 | 53,227 | 68,357 | 124,651 | 406,121 | 2,119,067 | 6,904,057 | 12,589,751 | 214,025,767 |
| -1 | -17 | -31 | -101 | -527 | -1,717 | -3,131 | -4,021 | -53,227 | -68,357 | -124,651 | -406,121 | -2,119,067 | -6,904,057 | -12,589,751 | -214,025,767 |
Here are some more numbers to try:
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