Q: What are the factor combinations of the number 33,071,563?
A:
Positive:
1 x 330715637 x 4724509
Negative:
-1 x -33071563-7 x -4724509
A:
Positive:
1 x 330715637 x 4724509
Negative:
-1 x -33071563-7 x -4724509
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 33,071,563, 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 | 33,071,563 | |
-1 | -33,071,563 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,071,563.
Example:
1 x 33,071,563 = 33,071,563
and
-1 x -33,071,563 = 33,071,563
Notice both answers equal 33,071,563
With that explanation out of the way, let's continue. Next, we take the number 33,071,563 and divide it by 2:
33,071,563 ÷ 2 = 16,535,781.5
If the quotient is a whole number, then 2 and 16,535,781.5 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 | 33,071,563 | |
-1 | -33,071,563 |
Now, we try dividing 33,071,563 by 3:
33,071,563 ÷ 3 = 11,023,854.3333
If the quotient is a whole number, then 3 and 11,023,854.3333 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 | 33,071,563 | |
-1 | -33,071,563 |
Let's try dividing by 4:
33,071,563 ÷ 4 = 8,267,890.75
If the quotient is a whole number, then 4 and 8,267,890.75 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 | 33,071,563 | |
-1 | 33,071,563 |
If you did it right, you will end up with this table:
1 | 7 | 4,724,509 | 33,071,563 |
-1 | -7 | -4,724,509 | -33,071,563 |
Here are some more numbers to try:
Try the factor calculator