A:
Positive:
1 x 3064365017 x 4377664341 x 747406159 x 5193839287 x 1067723413 x 7419772419 x 12667916933 x 18097
Negative:
-1 x -306436501-7 x -43776643-41 x -7474061-59 x -5193839-287 x -1067723-413 x -741977-2419 x -126679-16933 x -18097
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 306,436,501, 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 | 306,436,501 | |
| -1 | -306,436,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 306,436,501.
Example:
1 x 306,436,501 = 306,436,501
and
-1 x -306,436,501 = 306,436,501
Notice both answers equal 306,436,501
With that explanation out of the way, let's continue. Next, we take the number 306,436,501 and divide it by 2:
306,436,501 ÷ 2 = 153,218,250.5
If the quotient is a whole number, then 2 and 153,218,250.5 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 | 306,436,501 | |
| -1 | -306,436,501 |
Now, we try dividing 306,436,501 by 3:
306,436,501 ÷ 3 = 102,145,500.3333
If the quotient is a whole number, then 3 and 102,145,500.3333 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 | 306,436,501 | |
| -1 | -306,436,501 |
Let's try dividing by 4:
306,436,501 ÷ 4 = 76,609,125.25
If the quotient is a whole number, then 4 and 76,609,125.25 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 | 306,436,501 | |
| -1 | 306,436,501 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 59 | 287 | 413 | 2,419 | 16,933 | 18,097 | 126,679 | 741,977 | 1,067,723 | 5,193,839 | 7,474,061 | 43,776,643 | 306,436,501 |
| -1 | -7 | -41 | -59 | -287 | -413 | -2,419 | -16,933 | -18,097 | -126,679 | -741,977 | -1,067,723 | -5,193,839 | -7,474,061 | -43,776,643 | -306,436,501 |
Here are some more numbers to try:
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