A:
Positive:
1 x 1015237255 x 2030474523 x 441407525 x 4060949115 x 882815383 x 265075461 x 220225575 x 1765631915 x 530152305 x 440458809 x 115259575 x 10603
Negative:
-1 x -101523725-5 x -20304745-23 x -4414075-25 x -4060949-115 x -882815-383 x -265075-461 x -220225-575 x -176563-1915 x -53015-2305 x -44045-8809 x -11525-9575 x -10603
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 101,523,725, 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 | 101,523,725 | |
| -1 | -101,523,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,523,725.
Example:
1 x 101,523,725 = 101,523,725
and
-1 x -101,523,725 = 101,523,725
Notice both answers equal 101,523,725
With that explanation out of the way, let's continue. Next, we take the number 101,523,725 and divide it by 2:
101,523,725 ÷ 2 = 50,761,862.5
If the quotient is a whole number, then 2 and 50,761,862.5 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 | 101,523,725 | |
| -1 | -101,523,725 |
Now, we try dividing 101,523,725 by 3:
101,523,725 ÷ 3 = 33,841,241.6667
If the quotient is a whole number, then 3 and 33,841,241.6667 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 | 101,523,725 | |
| -1 | -101,523,725 |
Let's try dividing by 4:
101,523,725 ÷ 4 = 25,380,931.25
If the quotient is a whole number, then 4 and 25,380,931.25 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 | 101,523,725 | |
| -1 | 101,523,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 383 | 461 | 575 | 1,915 | 2,305 | 8,809 | 9,575 | 10,603 | 11,525 | 44,045 | 53,015 | 176,563 | 220,225 | 265,075 | 882,815 | 4,060,949 | 4,414,075 | 20,304,745 | 101,523,725 |
| -1 | -5 | -23 | -25 | -115 | -383 | -461 | -575 | -1,915 | -2,305 | -8,809 | -9,575 | -10,603 | -11,525 | -44,045 | -53,015 | -176,563 | -220,225 | -265,075 | -882,815 | -4,060,949 | -4,414,075 | -20,304,745 | -101,523,725 |
Here are some more numbers to try:
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