A:
Positive:
1 x 2410016917 x 141765741 x 58780971 x 339439487 x 49487697 x 345771207 x 199672911 x 8279
Negative:
-1 x -24100169-17 x -1417657-41 x -587809-71 x -339439-487 x -49487-697 x -34577-1207 x -19967-2911 x -8279
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 24,100,169, 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 | 24,100,169 | |
| -1 | -24,100,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,100,169.
Example:
1 x 24,100,169 = 24,100,169
and
-1 x -24,100,169 = 24,100,169
Notice both answers equal 24,100,169
With that explanation out of the way, let's continue. Next, we take the number 24,100,169 and divide it by 2:
24,100,169 ÷ 2 = 12,050,084.5
If the quotient is a whole number, then 2 and 12,050,084.5 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 | 24,100,169 | |
| -1 | -24,100,169 |
Now, we try dividing 24,100,169 by 3:
24,100,169 ÷ 3 = 8,033,389.6667
If the quotient is a whole number, then 3 and 8,033,389.6667 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 | 24,100,169 | |
| -1 | -24,100,169 |
Let's try dividing by 4:
24,100,169 ÷ 4 = 6,025,042.25
If the quotient is a whole number, then 4 and 6,025,042.25 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 | 24,100,169 | |
| -1 | 24,100,169 |
If you did it right, you will end up with this table:
| 1 | 17 | 41 | 71 | 487 | 697 | 1,207 | 2,911 | 8,279 | 19,967 | 34,577 | 49,487 | 339,439 | 587,809 | 1,417,657 | 24,100,169 |
| -1 | -17 | -41 | -71 | -487 | -697 | -1,207 | -2,911 | -8,279 | -19,967 | -34,577 | -49,487 | -339,439 | -587,809 | -1,417,657 | -24,100,169 |
Here are some more numbers to try:
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