A:
Positive:
1 x 241730237 x 345328923 x 105100149 x 49332789 x 271607161 x 150143241 x 100303623 x 388011127 x 214491687 x 143292047 x 118094361 x 5543
Negative:
-1 x -24173023-7 x -3453289-23 x -1051001-49 x -493327-89 x -271607-161 x -150143-241 x -100303-623 x -38801-1127 x -21449-1687 x -14329-2047 x -11809-4361 x -5543
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 24,173,023, 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 | 24,173,023 | |
| -1 | -24,173,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,173,023.
Example:
1 x 24,173,023 = 24,173,023
and
-1 x -24,173,023 = 24,173,023
Notice both answers equal 24,173,023
With that explanation out of the way, let's continue. Next, we take the number 24,173,023 and divide it by 2:
24,173,023 ÷ 2 = 12,086,511.5
If the quotient is a whole number, then 2 and 12,086,511.5 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 | 24,173,023 | |
| -1 | -24,173,023 |
Now, we try dividing 24,173,023 by 3:
24,173,023 ÷ 3 = 8,057,674.3333
If the quotient is a whole number, then 3 and 8,057,674.3333 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 | 24,173,023 | |
| -1 | -24,173,023 |
Let's try dividing by 4:
24,173,023 ÷ 4 = 6,043,255.75
If the quotient is a whole number, then 4 and 6,043,255.75 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 | 24,173,023 | |
| -1 | 24,173,023 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 89 | 161 | 241 | 623 | 1,127 | 1,687 | 2,047 | 4,361 | 5,543 | 11,809 | 14,329 | 21,449 | 38,801 | 100,303 | 150,143 | 271,607 | 493,327 | 1,051,001 | 3,453,289 | 24,173,023 |
| -1 | -7 | -23 | -49 | -89 | -161 | -241 | -623 | -1,127 | -1,687 | -2,047 | -4,361 | -5,543 | -11,809 | -14,329 | -21,449 | -38,801 | -100,303 | -150,143 | -271,607 | -493,327 | -1,051,001 | -3,453,289 | -24,173,023 |
Here are some more numbers to try:
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