A:
Positive:
1 x 361440177 x 516343113 x 278030923 x 157147949 x 73763391 x 397187161 x 224497299 x 120883637 x 567411127 x 320712093 x 172692467 x 14651
Negative:
-1 x -36144017-7 x -5163431-13 x -2780309-23 x -1571479-49 x -737633-91 x -397187-161 x -224497-299 x -120883-637 x -56741-1127 x -32071-2093 x -17269-2467 x -14651
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 36,144,017, 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 | 36,144,017 | |
| -1 | -36,144,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,144,017.
Example:
1 x 36,144,017 = 36,144,017
and
-1 x -36,144,017 = 36,144,017
Notice both answers equal 36,144,017
With that explanation out of the way, let's continue. Next, we take the number 36,144,017 and divide it by 2:
36,144,017 ÷ 2 = 18,072,008.5
If the quotient is a whole number, then 2 and 18,072,008.5 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 | 36,144,017 | |
| -1 | -36,144,017 |
Now, we try dividing 36,144,017 by 3:
36,144,017 ÷ 3 = 12,048,005.6667
If the quotient is a whole number, then 3 and 12,048,005.6667 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 | 36,144,017 | |
| -1 | -36,144,017 |
Let's try dividing by 4:
36,144,017 ÷ 4 = 9,036,004.25
If the quotient is a whole number, then 4 and 9,036,004.25 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 | 36,144,017 | |
| -1 | 36,144,017 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 49 | 91 | 161 | 299 | 637 | 1,127 | 2,093 | 2,467 | 14,651 | 17,269 | 32,071 | 56,741 | 120,883 | 224,497 | 397,187 | 737,633 | 1,571,479 | 2,780,309 | 5,163,431 | 36,144,017 |
| -1 | -7 | -13 | -23 | -49 | -91 | -161 | -299 | -637 | -1,127 | -2,093 | -2,467 | -14,651 | -17,269 | -32,071 | -56,741 | -120,883 | -224,497 | -397,187 | -737,633 | -1,571,479 | -2,780,309 | -5,163,431 | -36,144,017 |
Here are some more numbers to try:
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