A:
Positive:
1 x 256332377 x 366189161 x 420217173 x 148169347 x 73871427 x 600311211 x 211672429 x 10553
Negative:
-1 x -25633237-7 x -3661891-61 x -420217-173 x -148169-347 x -73871-427 x -60031-1211 x -21167-2429 x -10553
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 25,633,237, 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 | 25,633,237 | |
| -1 | -25,633,237 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,633,237.
Example:
1 x 25,633,237 = 25,633,237
and
-1 x -25,633,237 = 25,633,237
Notice both answers equal 25,633,237
With that explanation out of the way, let's continue. Next, we take the number 25,633,237 and divide it by 2:
25,633,237 ÷ 2 = 12,816,618.5
If the quotient is a whole number, then 2 and 12,816,618.5 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 | 25,633,237 | |
| -1 | -25,633,237 |
Now, we try dividing 25,633,237 by 3:
25,633,237 ÷ 3 = 8,544,412.3333
If the quotient is a whole number, then 3 and 8,544,412.3333 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 | 25,633,237 | |
| -1 | -25,633,237 |
Let's try dividing by 4:
25,633,237 ÷ 4 = 6,408,309.25
If the quotient is a whole number, then 4 and 6,408,309.25 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 | 25,633,237 | |
| -1 | 25,633,237 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 173 | 347 | 427 | 1,211 | 2,429 | 10,553 | 21,167 | 60,031 | 73,871 | 148,169 | 420,217 | 3,661,891 | 25,633,237 |
| -1 | -7 | -61 | -173 | -347 | -427 | -1,211 | -2,429 | -10,553 | -21,167 | -60,031 | -73,871 | -148,169 | -420,217 | -3,661,891 | -25,633,237 |
Here are some more numbers to try:
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