A:
Positive:
1 x 2144512155 x 4289024311 x 1949556555 x 38991131667 x 1286452339 x 916858335 x 2572911695 x 18337
Negative:
-1 x -214451215-5 x -42890243-11 x -19495565-55 x -3899113-1667 x -128645-2339 x -91685-8335 x -25729-11695 x -18337
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 214,451,215, 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 | 214,451,215 | |
| -1 | -214,451,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,451,215.
Example:
1 x 214,451,215 = 214,451,215
and
-1 x -214,451,215 = 214,451,215
Notice both answers equal 214,451,215
With that explanation out of the way, let's continue. Next, we take the number 214,451,215 and divide it by 2:
214,451,215 ÷ 2 = 107,225,607.5
If the quotient is a whole number, then 2 and 107,225,607.5 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 | 214,451,215 | |
| -1 | -214,451,215 |
Now, we try dividing 214,451,215 by 3:
214,451,215 ÷ 3 = 71,483,738.3333
If the quotient is a whole number, then 3 and 71,483,738.3333 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 | 214,451,215 | |
| -1 | -214,451,215 |
Let's try dividing by 4:
214,451,215 ÷ 4 = 53,612,803.75
If the quotient is a whole number, then 4 and 53,612,803.75 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 | 214,451,215 | |
| -1 | 214,451,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 1,667 | 2,339 | 8,335 | 11,695 | 18,337 | 25,729 | 91,685 | 128,645 | 3,899,113 | 19,495,565 | 42,890,243 | 214,451,215 |
| -1 | -5 | -11 | -55 | -1,667 | -2,339 | -8,335 | -11,695 | -18,337 | -25,729 | -91,685 | -128,645 | -3,899,113 | -19,495,565 | -42,890,243 | -214,451,215 |
Here are some more numbers to try:
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