A:
Positive:
1 x 3682765037 x 5261092937 x 995341949 x 751584771 x 5186993259 x 1421917497 x 7409991813 x 2031312627 x 1401892861 x 1287233479 x 10585718389 x 20027
Negative:
-1 x -368276503-7 x -52610929-37 x -9953419-49 x -7515847-71 x -5186993-259 x -1421917-497 x -740999-1813 x -203131-2627 x -140189-2861 x -128723-3479 x -105857-18389 x -20027
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 368,276,503, 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 | 368,276,503 | |
| -1 | -368,276,503 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 368,276,503.
Example:
1 x 368,276,503 = 368,276,503
and
-1 x -368,276,503 = 368,276,503
Notice both answers equal 368,276,503
With that explanation out of the way, let's continue. Next, we take the number 368,276,503 and divide it by 2:
368,276,503 ÷ 2 = 184,138,251.5
If the quotient is a whole number, then 2 and 184,138,251.5 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 | 368,276,503 | |
| -1 | -368,276,503 |
Now, we try dividing 368,276,503 by 3:
368,276,503 ÷ 3 = 122,758,834.3333
If the quotient is a whole number, then 3 and 122,758,834.3333 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 | 368,276,503 | |
| -1 | -368,276,503 |
Let's try dividing by 4:
368,276,503 ÷ 4 = 92,069,125.75
If the quotient is a whole number, then 4 and 92,069,125.75 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 | 368,276,503 | |
| -1 | 368,276,503 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 49 | 71 | 259 | 497 | 1,813 | 2,627 | 2,861 | 3,479 | 18,389 | 20,027 | 105,857 | 128,723 | 140,189 | 203,131 | 740,999 | 1,421,917 | 5,186,993 | 7,515,847 | 9,953,419 | 52,610,929 | 368,276,503 |
| -1 | -7 | -37 | -49 | -71 | -259 | -497 | -1,813 | -2,627 | -2,861 | -3,479 | -18,389 | -20,027 | -105,857 | -128,723 | -140,189 | -203,131 | -740,999 | -1,421,917 | -5,186,993 | -7,515,847 | -9,953,419 | -52,610,929 | -368,276,503 |
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