A:
Positive:
1 x 3680023697 x 5257176723 x 16000103161 x 2285729167 x 22036071169 x 3148013841 x 9580913687 x 26887
Negative:
-1 x -368002369-7 x -52571767-23 x -16000103-161 x -2285729-167 x -2203607-1169 x -314801-3841 x -95809-13687 x -26887
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 368,002,369, 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 | 368,002,369 | |
| -1 | -368,002,369 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 368,002,369.
Example:
1 x 368,002,369 = 368,002,369
and
-1 x -368,002,369 = 368,002,369
Notice both answers equal 368,002,369
With that explanation out of the way, let's continue. Next, we take the number 368,002,369 and divide it by 2:
368,002,369 ÷ 2 = 184,001,184.5
If the quotient is a whole number, then 2 and 184,001,184.5 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 | 368,002,369 | |
| -1 | -368,002,369 |
Now, we try dividing 368,002,369 by 3:
368,002,369 ÷ 3 = 122,667,456.3333
If the quotient is a whole number, then 3 and 122,667,456.3333 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 | 368,002,369 | |
| -1 | -368,002,369 |
Let's try dividing by 4:
368,002,369 ÷ 4 = 92,000,592.25
If the quotient is a whole number, then 4 and 92,000,592.25 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 | 368,002,369 | |
| -1 | 368,002,369 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 167 | 1,169 | 3,841 | 13,687 | 26,887 | 95,809 | 314,801 | 2,203,607 | 2,285,729 | 16,000,103 | 52,571,767 | 368,002,369 |
| -1 | -7 | -23 | -161 | -167 | -1,169 | -3,841 | -13,687 | -26,887 | -95,809 | -314,801 | -2,203,607 | -2,285,729 | -16,000,103 | -52,571,767 | -368,002,369 |
Here are some more numbers to try:
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