A:
Positive:
1 x 424232417 x 606046343 x 98658797 x 437353301 x 140941679 x 624791453 x 291974171 x 10171
Negative:
-1 x -42423241-7 x -6060463-43 x -986587-97 x -437353-301 x -140941-679 x -62479-1453 x -29197-4171 x -10171
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 42,423,241, 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 | 42,423,241 | |
| -1 | -42,423,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,423,241.
Example:
1 x 42,423,241 = 42,423,241
and
-1 x -42,423,241 = 42,423,241
Notice both answers equal 42,423,241
With that explanation out of the way, let's continue. Next, we take the number 42,423,241 and divide it by 2:
42,423,241 ÷ 2 = 21,211,620.5
If the quotient is a whole number, then 2 and 21,211,620.5 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 | 42,423,241 | |
| -1 | -42,423,241 |
Now, we try dividing 42,423,241 by 3:
42,423,241 ÷ 3 = 14,141,080.3333
If the quotient is a whole number, then 3 and 14,141,080.3333 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 | 42,423,241 | |
| -1 | -42,423,241 |
Let's try dividing by 4:
42,423,241 ÷ 4 = 10,605,810.25
If the quotient is a whole number, then 4 and 10,605,810.25 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 | 42,423,241 | |
| -1 | 42,423,241 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 97 | 301 | 679 | 1,453 | 4,171 | 10,171 | 29,197 | 62,479 | 140,941 | 437,353 | 986,587 | 6,060,463 | 42,423,241 |
| -1 | -7 | -43 | -97 | -301 | -679 | -1,453 | -4,171 | -10,171 | -29,197 | -62,479 | -140,941 | -437,353 | -986,587 | -6,060,463 | -42,423,241 |
Here are some more numbers to try:
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