A:
Positive:
1 x 251312355 x 502624731 x 810685155 x 162137281 x 89435577 x 435551405 x 178872885 x 8711
Negative:
-1 x -25131235-5 x -5026247-31 x -810685-155 x -162137-281 x -89435-577 x -43555-1405 x -17887-2885 x -8711
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 25,131,235, 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 | 25,131,235 | |
| -1 | -25,131,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,131,235.
Example:
1 x 25,131,235 = 25,131,235
and
-1 x -25,131,235 = 25,131,235
Notice both answers equal 25,131,235
With that explanation out of the way, let's continue. Next, we take the number 25,131,235 and divide it by 2:
25,131,235 ÷ 2 = 12,565,617.5
If the quotient is a whole number, then 2 and 12,565,617.5 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 | 25,131,235 | |
| -1 | -25,131,235 |
Now, we try dividing 25,131,235 by 3:
25,131,235 ÷ 3 = 8,377,078.3333
If the quotient is a whole number, then 3 and 8,377,078.3333 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 | 25,131,235 | |
| -1 | -25,131,235 |
Let's try dividing by 4:
25,131,235 ÷ 4 = 6,282,808.75
If the quotient is a whole number, then 4 and 6,282,808.75 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 | 25,131,235 | |
| -1 | 25,131,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 281 | 577 | 1,405 | 2,885 | 8,711 | 17,887 | 43,555 | 89,435 | 162,137 | 810,685 | 5,026,247 | 25,131,235 |
| -1 | -5 | -31 | -155 | -281 | -577 | -1,405 | -2,885 | -8,711 | -17,887 | -43,555 | -89,435 | -162,137 | -810,685 | -5,026,247 | -25,131,235 |
Here are some more numbers to try:
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