A:
Positive:
1 x 68647707711 x 6240700713 x 52805929143 x 4800539263 x 26101792893 x 2372893419 x 20078318253 x 37609
Negative:
-1 x -686477077-11 x -62407007-13 x -52805929-143 x -4800539-263 x -2610179-2893 x -237289-3419 x -200783-18253 x -37609
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 686,477,077, 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 | 686,477,077 | |
| -1 | -686,477,077 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 686,477,077.
Example:
1 x 686,477,077 = 686,477,077
and
-1 x -686,477,077 = 686,477,077
Notice both answers equal 686,477,077
With that explanation out of the way, let's continue. Next, we take the number 686,477,077 and divide it by 2:
686,477,077 ÷ 2 = 343,238,538.5
If the quotient is a whole number, then 2 and 343,238,538.5 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 | 686,477,077 | |
| -1 | -686,477,077 |
Now, we try dividing 686,477,077 by 3:
686,477,077 ÷ 3 = 228,825,692.3333
If the quotient is a whole number, then 3 and 228,825,692.3333 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 | 686,477,077 | |
| -1 | -686,477,077 |
Let's try dividing by 4:
686,477,077 ÷ 4 = 171,619,269.25
If the quotient is a whole number, then 4 and 171,619,269.25 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 | 686,477,077 | |
| -1 | 686,477,077 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 263 | 2,893 | 3,419 | 18,253 | 37,609 | 200,783 | 237,289 | 2,610,179 | 4,800,539 | 52,805,929 | 62,407,007 | 686,477,077 |
| -1 | -11 | -13 | -143 | -263 | -2,893 | -3,419 | -18,253 | -37,609 | -200,783 | -237,289 | -2,610,179 | -4,800,539 | -52,805,929 | -62,407,007 | -686,477,077 |
Here are some more numbers to try:
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