A:
Positive:
1 x 2783744755 x 5567489525 x 1113497943 x 6473825127 x 2191925215 x 1294765635 x 4383851075 x 2589532039 x 1365253175 x 876775461 x 5097510195 x 27305
Negative:
-1 x -278374475-5 x -55674895-25 x -11134979-43 x -6473825-127 x -2191925-215 x -1294765-635 x -438385-1075 x -258953-2039 x -136525-3175 x -87677-5461 x -50975-10195 x -27305
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 278,374,475, 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 | 278,374,475 | |
| -1 | -278,374,475 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 278,374,475.
Example:
1 x 278,374,475 = 278,374,475
and
-1 x -278,374,475 = 278,374,475
Notice both answers equal 278,374,475
With that explanation out of the way, let's continue. Next, we take the number 278,374,475 and divide it by 2:
278,374,475 ÷ 2 = 139,187,237.5
If the quotient is a whole number, then 2 and 139,187,237.5 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 | 278,374,475 | |
| -1 | -278,374,475 |
Now, we try dividing 278,374,475 by 3:
278,374,475 ÷ 3 = 92,791,491.6667
If the quotient is a whole number, then 3 and 92,791,491.6667 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 | 278,374,475 | |
| -1 | -278,374,475 |
Let's try dividing by 4:
278,374,475 ÷ 4 = 69,593,618.75
If the quotient is a whole number, then 4 and 69,593,618.75 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 | 278,374,475 | |
| -1 | 278,374,475 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 43 | 127 | 215 | 635 | 1,075 | 2,039 | 3,175 | 5,461 | 10,195 | 27,305 | 50,975 | 87,677 | 136,525 | 258,953 | 438,385 | 1,294,765 | 2,191,925 | 6,473,825 | 11,134,979 | 55,674,895 | 278,374,475 |
| -1 | -5 | -25 | -43 | -127 | -215 | -635 | -1,075 | -2,039 | -3,175 | -5,461 | -10,195 | -27,305 | -50,975 | -87,677 | -136,525 | -258,953 | -438,385 | -1,294,765 | -2,191,925 | -6,473,825 | -11,134,979 | -55,674,895 | -278,374,475 |
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