Q: What are the factor combinations of the number 305,422,027?
A:
Positive:
1 x 30542202747 x 6498341
Negative:
-1 x -305422027-47 x -6498341
A:
Positive:
1 x 30542202747 x 6498341
Negative:
-1 x -305422027-47 x -6498341
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 305,422,027, 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 | 305,422,027 | |
-1 | -305,422,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,422,027.
Example:
1 x 305,422,027 = 305,422,027
and
-1 x -305,422,027 = 305,422,027
Notice both answers equal 305,422,027
With that explanation out of the way, let's continue. Next, we take the number 305,422,027 and divide it by 2:
305,422,027 ÷ 2 = 152,711,013.5
If the quotient is a whole number, then 2 and 152,711,013.5 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 | 305,422,027 | |
-1 | -305,422,027 |
Now, we try dividing 305,422,027 by 3:
305,422,027 ÷ 3 = 101,807,342.3333
If the quotient is a whole number, then 3 and 101,807,342.3333 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 | 305,422,027 | |
-1 | -305,422,027 |
Let's try dividing by 4:
305,422,027 ÷ 4 = 76,355,506.75
If the quotient is a whole number, then 4 and 76,355,506.75 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 | 305,422,027 | |
-1 | 305,422,027 |
If you did it right, you will end up with this table:
1 | 47 | 6,498,341 | 305,422,027 |
-1 | -47 | -6,498,341 | -305,422,027 |
Here are some more numbers to try:
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