A:
Positive:
1 x 30234650973 x 414173379 x 3827171103 x 2935403509 x 5940015767 x 524277519 x 402118137 x 37157
Negative:
-1 x -302346509-73 x -4141733-79 x -3827171-103 x -2935403-509 x -594001-5767 x -52427-7519 x -40211-8137 x -37157
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 302,346,509, 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 | 302,346,509 | |
| -1 | -302,346,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 302,346,509.
Example:
1 x 302,346,509 = 302,346,509
and
-1 x -302,346,509 = 302,346,509
Notice both answers equal 302,346,509
With that explanation out of the way, let's continue. Next, we take the number 302,346,509 and divide it by 2:
302,346,509 ÷ 2 = 151,173,254.5
If the quotient is a whole number, then 2 and 151,173,254.5 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 | 302,346,509 | |
| -1 | -302,346,509 |
Now, we try dividing 302,346,509 by 3:
302,346,509 ÷ 3 = 100,782,169.6667
If the quotient is a whole number, then 3 and 100,782,169.6667 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 | 302,346,509 | |
| -1 | -302,346,509 |
Let's try dividing by 4:
302,346,509 ÷ 4 = 75,586,627.25
If the quotient is a whole number, then 4 and 75,586,627.25 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 | 302,346,509 | |
| -1 | 302,346,509 |
If you did it right, you will end up with this table:
| 1 | 73 | 79 | 103 | 509 | 5,767 | 7,519 | 8,137 | 37,157 | 40,211 | 52,427 | 594,001 | 2,935,403 | 3,827,171 | 4,141,733 | 302,346,509 |
| -1 | -73 | -79 | -103 | -509 | -5,767 | -7,519 | -8,137 | -37,157 | -40,211 | -52,427 | -594,001 | -2,935,403 | -3,827,171 | -4,141,733 | -302,346,509 |
Here are some more numbers to try:
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