A:
Positive:
1 x 2679142977 x 3827347189 x 3010273199 x 1346303623 x 4300391393 x 1923292161 x 12397715127 x 17711
Negative:
-1 x -267914297-7 x -38273471-89 x -3010273-199 x -1346303-623 x -430039-1393 x -192329-2161 x -123977-15127 x -17711
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 267,914,297, 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 | 267,914,297 | |
| -1 | -267,914,297 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 267,914,297.
Example:
1 x 267,914,297 = 267,914,297
and
-1 x -267,914,297 = 267,914,297
Notice both answers equal 267,914,297
With that explanation out of the way, let's continue. Next, we take the number 267,914,297 and divide it by 2:
267,914,297 ÷ 2 = 133,957,148.5
If the quotient is a whole number, then 2 and 133,957,148.5 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 | 267,914,297 | |
| -1 | -267,914,297 |
Now, we try dividing 267,914,297 by 3:
267,914,297 ÷ 3 = 89,304,765.6667
If the quotient is a whole number, then 3 and 89,304,765.6667 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 | 267,914,297 | |
| -1 | -267,914,297 |
Let's try dividing by 4:
267,914,297 ÷ 4 = 66,978,574.25
If the quotient is a whole number, then 4 and 66,978,574.25 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 | 267,914,297 | |
| -1 | 267,914,297 |
If you did it right, you will end up with this table:
| 1 | 7 | 89 | 199 | 623 | 1,393 | 2,161 | 15,127 | 17,711 | 123,977 | 192,329 | 430,039 | 1,346,303 | 3,010,273 | 38,273,471 | 267,914,297 |
| -1 | -7 | -89 | -199 | -623 | -1,393 | -2,161 | -15,127 | -17,711 | -123,977 | -192,329 | -430,039 | -1,346,303 | -3,010,273 | -38,273,471 | -267,914,297 |
Here are some more numbers to try:
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