A:
Positive:
1 x 514231723 x 22357947 x 10941167 x 7675171 x 724271081 x 47571541 x 33371633 x 3149
Negative:
-1 x -5142317-23 x -223579-47 x -109411-67 x -76751-71 x -72427-1081 x -4757-1541 x -3337-1633 x -3149
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 5,142,317, 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 | 5,142,317 | |
| -1 | -5,142,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,142,317.
Example:
1 x 5,142,317 = 5,142,317
and
-1 x -5,142,317 = 5,142,317
Notice both answers equal 5,142,317
With that explanation out of the way, let's continue. Next, we take the number 5,142,317 and divide it by 2:
5,142,317 ÷ 2 = 2,571,158.5
If the quotient is a whole number, then 2 and 2,571,158.5 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 | 5,142,317 | |
| -1 | -5,142,317 |
Now, we try dividing 5,142,317 by 3:
5,142,317 ÷ 3 = 1,714,105.6667
If the quotient is a whole number, then 3 and 1,714,105.6667 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 | 5,142,317 | |
| -1 | -5,142,317 |
Let's try dividing by 4:
5,142,317 ÷ 4 = 1,285,579.25
If the quotient is a whole number, then 4 and 1,285,579.25 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 | 5,142,317 | |
| -1 | 5,142,317 |
If you did it right, you will end up with this table:
| 1 | 23 | 47 | 67 | 71 | 1,081 | 1,541 | 1,633 | 3,149 | 3,337 | 4,757 | 72,427 | 76,751 | 109,411 | 223,579 | 5,142,317 |
| -1 | -23 | -47 | -67 | -71 | -1,081 | -1,541 | -1,633 | -3,149 | -3,337 | -4,757 | -72,427 | -76,751 | -109,411 | -223,579 | -5,142,317 |
Here are some more numbers to try:
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