A:
Positive:
1 x 664010697 x 948586723 x 2887003161 x 412429229 x 2899611603 x 414231801 x 368695267 x 12607
Negative:
-1 x -66401069-7 x -9485867-23 x -2887003-161 x -412429-229 x -289961-1603 x -41423-1801 x -36869-5267 x -12607
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 66,401,069, 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 | 66,401,069 | |
| -1 | -66,401,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,401,069.
Example:
1 x 66,401,069 = 66,401,069
and
-1 x -66,401,069 = 66,401,069
Notice both answers equal 66,401,069
With that explanation out of the way, let's continue. Next, we take the number 66,401,069 and divide it by 2:
66,401,069 ÷ 2 = 33,200,534.5
If the quotient is a whole number, then 2 and 33,200,534.5 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 | 66,401,069 | |
| -1 | -66,401,069 |
Now, we try dividing 66,401,069 by 3:
66,401,069 ÷ 3 = 22,133,689.6667
If the quotient is a whole number, then 3 and 22,133,689.6667 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 | 66,401,069 | |
| -1 | -66,401,069 |
Let's try dividing by 4:
66,401,069 ÷ 4 = 16,600,267.25
If the quotient is a whole number, then 4 and 16,600,267.25 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 | 66,401,069 | |
| -1 | 66,401,069 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 229 | 1,603 | 1,801 | 5,267 | 12,607 | 36,869 | 41,423 | 289,961 | 412,429 | 2,887,003 | 9,485,867 | 66,401,069 |
| -1 | -7 | -23 | -161 | -229 | -1,603 | -1,801 | -5,267 | -12,607 | -36,869 | -41,423 | -289,961 | -412,429 | -2,887,003 | -9,485,867 | -66,401,069 |
Here are some more numbers to try:
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