A:
Positive:
1 x 21011021911 x 1910092931 x 6777749341 x 616159433 x 4852431423 x 1476534763 x 4411313423 x 15653
Negative:
-1 x -210110219-11 x -19100929-31 x -6777749-341 x -616159-433 x -485243-1423 x -147653-4763 x -44113-13423 x -15653
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 210,110,219, 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 | 210,110,219 | |
| -1 | -210,110,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,110,219.
Example:
1 x 210,110,219 = 210,110,219
and
-1 x -210,110,219 = 210,110,219
Notice both answers equal 210,110,219
With that explanation out of the way, let's continue. Next, we take the number 210,110,219 and divide it by 2:
210,110,219 ÷ 2 = 105,055,109.5
If the quotient is a whole number, then 2 and 105,055,109.5 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 | 210,110,219 | |
| -1 | -210,110,219 |
Now, we try dividing 210,110,219 by 3:
210,110,219 ÷ 3 = 70,036,739.6667
If the quotient is a whole number, then 3 and 70,036,739.6667 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 | 210,110,219 | |
| -1 | -210,110,219 |
Let's try dividing by 4:
210,110,219 ÷ 4 = 52,527,554.75
If the quotient is a whole number, then 4 and 52,527,554.75 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 | 210,110,219 | |
| -1 | 210,110,219 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 341 | 433 | 1,423 | 4,763 | 13,423 | 15,653 | 44,113 | 147,653 | 485,243 | 616,159 | 6,777,749 | 19,100,929 | 210,110,219 |
| -1 | -11 | -31 | -341 | -433 | -1,423 | -4,763 | -13,423 | -15,653 | -44,113 | -147,653 | -485,243 | -616,159 | -6,777,749 | -19,100,929 | -210,110,219 |
Here are some more numbers to try:
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