A:
Positive:
1 x 480304097 x 686148729 x 1656221203 x 236603223 x 2153831061 x 452691561 x 307696467 x 7427
Negative:
-1 x -48030409-7 x -6861487-29 x -1656221-203 x -236603-223 x -215383-1061 x -45269-1561 x -30769-6467 x -7427
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 48,030,409, 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 | 48,030,409 | |
| -1 | -48,030,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,030,409.
Example:
1 x 48,030,409 = 48,030,409
and
-1 x -48,030,409 = 48,030,409
Notice both answers equal 48,030,409
With that explanation out of the way, let's continue. Next, we take the number 48,030,409 and divide it by 2:
48,030,409 ÷ 2 = 24,015,204.5
If the quotient is a whole number, then 2 and 24,015,204.5 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 | 48,030,409 | |
| -1 | -48,030,409 |
Now, we try dividing 48,030,409 by 3:
48,030,409 ÷ 3 = 16,010,136.3333
If the quotient is a whole number, then 3 and 16,010,136.3333 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 | 48,030,409 | |
| -1 | -48,030,409 |
Let's try dividing by 4:
48,030,409 ÷ 4 = 12,007,602.25
If the quotient is a whole number, then 4 and 12,007,602.25 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 | 48,030,409 | |
| -1 | 48,030,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 223 | 1,061 | 1,561 | 6,467 | 7,427 | 30,769 | 45,269 | 215,383 | 236,603 | 1,656,221 | 6,861,487 | 48,030,409 |
| -1 | -7 | -29 | -203 | -223 | -1,061 | -1,561 | -6,467 | -7,427 | -30,769 | -45,269 | -215,383 | -236,603 | -1,656,221 | -6,861,487 | -48,030,409 |
Here are some more numbers to try:
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