A:
Positive:
1 x 102730255 x 20546057 x 146757525 x 41092135 x 29351547 x 218575175 x 58703235 x 43715329 x 312251175 x 87431249 x 82251645 x 6245
Negative:
-1 x -10273025-5 x -2054605-7 x -1467575-25 x -410921-35 x -293515-47 x -218575-175 x -58703-235 x -43715-329 x -31225-1175 x -8743-1249 x -8225-1645 x -6245
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 10,273,025, 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 | 10,273,025 | |
| -1 | -10,273,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,273,025.
Example:
1 x 10,273,025 = 10,273,025
and
-1 x -10,273,025 = 10,273,025
Notice both answers equal 10,273,025
With that explanation out of the way, let's continue. Next, we take the number 10,273,025 and divide it by 2:
10,273,025 ÷ 2 = 5,136,512.5
If the quotient is a whole number, then 2 and 5,136,512.5 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 | 10,273,025 | |
| -1 | -10,273,025 |
Now, we try dividing 10,273,025 by 3:
10,273,025 ÷ 3 = 3,424,341.6667
If the quotient is a whole number, then 3 and 3,424,341.6667 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 | 10,273,025 | |
| -1 | -10,273,025 |
Let's try dividing by 4:
10,273,025 ÷ 4 = 2,568,256.25
If the quotient is a whole number, then 4 and 2,568,256.25 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 | 10,273,025 | |
| -1 | 10,273,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 47 | 175 | 235 | 329 | 1,175 | 1,249 | 1,645 | 6,245 | 8,225 | 8,743 | 31,225 | 43,715 | 58,703 | 218,575 | 293,515 | 410,921 | 1,467,575 | 2,054,605 | 10,273,025 |
| -1 | -5 | -7 | -25 | -35 | -47 | -175 | -235 | -329 | -1,175 | -1,249 | -1,645 | -6,245 | -8,225 | -8,743 | -31,225 | -43,715 | -58,703 | -218,575 | -293,515 | -410,921 | -1,467,575 | -2,054,605 | -10,273,025 |
Here are some more numbers to try:
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