A:
Positive:
1 x 314735055 x 62947017 x 449621535 x 899243257 x 1224651285 x 244931799 x 174953499 x 8995
Negative:
-1 x -31473505-5 x -6294701-7 x -4496215-35 x -899243-257 x -122465-1285 x -24493-1799 x -17495-3499 x -8995
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 31,473,505, 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 | 31,473,505 | |
| -1 | -31,473,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,473,505.
Example:
1 x 31,473,505 = 31,473,505
and
-1 x -31,473,505 = 31,473,505
Notice both answers equal 31,473,505
With that explanation out of the way, let's continue. Next, we take the number 31,473,505 and divide it by 2:
31,473,505 ÷ 2 = 15,736,752.5
If the quotient is a whole number, then 2 and 15,736,752.5 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 | 31,473,505 | |
| -1 | -31,473,505 |
Now, we try dividing 31,473,505 by 3:
31,473,505 ÷ 3 = 10,491,168.3333
If the quotient is a whole number, then 3 and 10,491,168.3333 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 | 31,473,505 | |
| -1 | -31,473,505 |
Let's try dividing by 4:
31,473,505 ÷ 4 = 7,868,376.25
If the quotient is a whole number, then 4 and 7,868,376.25 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 | 31,473,505 | |
| -1 | 31,473,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 257 | 1,285 | 1,799 | 3,499 | 8,995 | 17,495 | 24,493 | 122,465 | 899,243 | 4,496,215 | 6,294,701 | 31,473,505 |
| -1 | -5 | -7 | -35 | -257 | -1,285 | -1,799 | -3,499 | -8,995 | -17,495 | -24,493 | -122,465 | -899,243 | -4,496,215 | -6,294,701 | -31,473,505 |
Here are some more numbers to try:
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