A:
Positive:
1 x 420055255 x 840110525 x 168022141 x 1024525107 x 392575205 x 204905383 x 109675535 x 785151025 x 409811915 x 219352675 x 157034387 x 9575
Negative:
-1 x -42005525-5 x -8401105-25 x -1680221-41 x -1024525-107 x -392575-205 x -204905-383 x -109675-535 x -78515-1025 x -40981-1915 x -21935-2675 x -15703-4387 x -9575
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 42,005,525, 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 | 42,005,525 | |
| -1 | -42,005,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,005,525.
Example:
1 x 42,005,525 = 42,005,525
and
-1 x -42,005,525 = 42,005,525
Notice both answers equal 42,005,525
With that explanation out of the way, let's continue. Next, we take the number 42,005,525 and divide it by 2:
42,005,525 ÷ 2 = 21,002,762.5
If the quotient is a whole number, then 2 and 21,002,762.5 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 | 42,005,525 | |
| -1 | -42,005,525 |
Now, we try dividing 42,005,525 by 3:
42,005,525 ÷ 3 = 14,001,841.6667
If the quotient is a whole number, then 3 and 14,001,841.6667 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 | 42,005,525 | |
| -1 | -42,005,525 |
Let's try dividing by 4:
42,005,525 ÷ 4 = 10,501,381.25
If the quotient is a whole number, then 4 and 10,501,381.25 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 | 42,005,525 | |
| -1 | 42,005,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 107 | 205 | 383 | 535 | 1,025 | 1,915 | 2,675 | 4,387 | 9,575 | 15,703 | 21,935 | 40,981 | 78,515 | 109,675 | 204,905 | 392,575 | 1,024,525 | 1,680,221 | 8,401,105 | 42,005,525 |
| -1 | -5 | -25 | -41 | -107 | -205 | -383 | -535 | -1,025 | -1,915 | -2,675 | -4,387 | -9,575 | -15,703 | -21,935 | -40,981 | -78,515 | -109,675 | -204,905 | -392,575 | -1,024,525 | -1,680,221 | -8,401,105 | -42,005,525 |
Here are some more numbers to try:
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