A:
Positive:
1 x 661006577 x 944295129 x 227933349 x 1348993181 x 365197203 x 325619257 x 2572011267 x 521711421 x 465171799 x 367435249 x 125937453 x 8869
Negative:
-1 x -66100657-7 x -9442951-29 x -2279333-49 x -1348993-181 x -365197-203 x -325619-257 x -257201-1267 x -52171-1421 x -46517-1799 x -36743-5249 x -12593-7453 x -8869
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 66,100,657, 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 | 66,100,657 | |
| -1 | -66,100,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,100,657.
Example:
1 x 66,100,657 = 66,100,657
and
-1 x -66,100,657 = 66,100,657
Notice both answers equal 66,100,657
With that explanation out of the way, let's continue. Next, we take the number 66,100,657 and divide it by 2:
66,100,657 ÷ 2 = 33,050,328.5
If the quotient is a whole number, then 2 and 33,050,328.5 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 | 66,100,657 | |
| -1 | -66,100,657 |
Now, we try dividing 66,100,657 by 3:
66,100,657 ÷ 3 = 22,033,552.3333
If the quotient is a whole number, then 3 and 22,033,552.3333 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 | 66,100,657 | |
| -1 | -66,100,657 |
Let's try dividing by 4:
66,100,657 ÷ 4 = 16,525,164.25
If the quotient is a whole number, then 4 and 16,525,164.25 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 | 66,100,657 | |
| -1 | 66,100,657 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 49 | 181 | 203 | 257 | 1,267 | 1,421 | 1,799 | 5,249 | 7,453 | 8,869 | 12,593 | 36,743 | 46,517 | 52,171 | 257,201 | 325,619 | 365,197 | 1,348,993 | 2,279,333 | 9,442,951 | 66,100,657 |
| -1 | -7 | -29 | -49 | -181 | -203 | -257 | -1,267 | -1,421 | -1,799 | -5,249 | -7,453 | -8,869 | -12,593 | -36,743 | -46,517 | -52,171 | -257,201 | -325,619 | -365,197 | -1,348,993 | -2,279,333 | -9,442,951 | -66,100,657 |
Here are some more numbers to try:
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