A:
Positive:
1 x 2113040355 x 4226080719 x 1112126595 x 2224253353 x 5985951765 x 1197196301 x 335356707 x 31505
Negative:
-1 x -211304035-5 x -42260807-19 x -11121265-95 x -2224253-353 x -598595-1765 x -119719-6301 x -33535-6707 x -31505
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 211,304,035, 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 | 211,304,035 | |
| -1 | -211,304,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,304,035.
Example:
1 x 211,304,035 = 211,304,035
and
-1 x -211,304,035 = 211,304,035
Notice both answers equal 211,304,035
With that explanation out of the way, let's continue. Next, we take the number 211,304,035 and divide it by 2:
211,304,035 ÷ 2 = 105,652,017.5
If the quotient is a whole number, then 2 and 105,652,017.5 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 | 211,304,035 | |
| -1 | -211,304,035 |
Now, we try dividing 211,304,035 by 3:
211,304,035 ÷ 3 = 70,434,678.3333
If the quotient is a whole number, then 3 and 70,434,678.3333 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 | 211,304,035 | |
| -1 | -211,304,035 |
Let's try dividing by 4:
211,304,035 ÷ 4 = 52,826,008.75
If the quotient is a whole number, then 4 and 52,826,008.75 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 | 211,304,035 | |
| -1 | 211,304,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 353 | 1,765 | 6,301 | 6,707 | 31,505 | 33,535 | 119,719 | 598,595 | 2,224,253 | 11,121,265 | 42,260,807 | 211,304,035 |
| -1 | -5 | -19 | -95 | -353 | -1,765 | -6,301 | -6,707 | -31,505 | -33,535 | -119,719 | -598,595 | -2,224,253 | -11,121,265 | -42,260,807 | -211,304,035 |
Here are some more numbers to try:
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