Q: What are the factor combinations of the number 33,115,525?
A:
Positive:
1 x 331155255 x 662310525 x 1324621
Negative:
-1 x -33115525-5 x -6623105-25 x -1324621
A:
Positive:
1 x 331155255 x 662310525 x 1324621
Negative:
-1 x -33115525-5 x -6623105-25 x -1324621
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 33,115,525, 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 | 33,115,525 | |
-1 | -33,115,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,115,525.
Example:
1 x 33,115,525 = 33,115,525
and
-1 x -33,115,525 = 33,115,525
Notice both answers equal 33,115,525
With that explanation out of the way, let's continue. Next, we take the number 33,115,525 and divide it by 2:
33,115,525 ÷ 2 = 16,557,762.5
If the quotient is a whole number, then 2 and 16,557,762.5 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 | 33,115,525 | |
-1 | -33,115,525 |
Now, we try dividing 33,115,525 by 3:
33,115,525 ÷ 3 = 11,038,508.3333
If the quotient is a whole number, then 3 and 11,038,508.3333 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 | 33,115,525 | |
-1 | -33,115,525 |
Let's try dividing by 4:
33,115,525 ÷ 4 = 8,278,881.25
If the quotient is a whole number, then 4 and 8,278,881.25 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 | 33,115,525 | |
-1 | 33,115,525 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,324,621 | 6,623,105 | 33,115,525 |
-1 | -5 | -25 | -1,324,621 | -6,623,105 | -33,115,525 |
Here are some more numbers to try:
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