A:
Positive:
1 x 311514497 x 445020767 x 464947127 x 245287469 x 66421523 x 59563889 x 350413661 x 8509
Negative:
-1 x -31151449-7 x -4450207-67 x -464947-127 x -245287-469 x -66421-523 x -59563-889 x -35041-3661 x -8509
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 31,151,449, 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 | 31,151,449 | |
| -1 | -31,151,449 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,151,449.
Example:
1 x 31,151,449 = 31,151,449
and
-1 x -31,151,449 = 31,151,449
Notice both answers equal 31,151,449
With that explanation out of the way, let's continue. Next, we take the number 31,151,449 and divide it by 2:
31,151,449 ÷ 2 = 15,575,724.5
If the quotient is a whole number, then 2 and 15,575,724.5 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 | 31,151,449 | |
| -1 | -31,151,449 |
Now, we try dividing 31,151,449 by 3:
31,151,449 ÷ 3 = 10,383,816.3333
If the quotient is a whole number, then 3 and 10,383,816.3333 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 | 31,151,449 | |
| -1 | -31,151,449 |
Let's try dividing by 4:
31,151,449 ÷ 4 = 7,787,862.25
If the quotient is a whole number, then 4 and 7,787,862.25 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 | 31,151,449 | |
| -1 | 31,151,449 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 127 | 469 | 523 | 889 | 3,661 | 8,509 | 35,041 | 59,563 | 66,421 | 245,287 | 464,947 | 4,450,207 | 31,151,449 |
| -1 | -7 | -67 | -127 | -469 | -523 | -889 | -3,661 | -8,509 | -35,041 | -59,563 | -66,421 | -245,287 | -464,947 | -4,450,207 | -31,151,449 |
Here are some more numbers to try:
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