Q: What are the factor combinations of the number 33,401,141?
A:
Positive:
1 x 3340114117 x 1964773
Negative:
-1 x -33401141-17 x -1964773
A:
Positive:
1 x 3340114117 x 1964773
Negative:
-1 x -33401141-17 x -1964773
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 33,401,141, 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 | 33,401,141 | |
-1 | -33,401,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,401,141.
Example:
1 x 33,401,141 = 33,401,141
and
-1 x -33,401,141 = 33,401,141
Notice both answers equal 33,401,141
With that explanation out of the way, let's continue. Next, we take the number 33,401,141 and divide it by 2:
33,401,141 ÷ 2 = 16,700,570.5
If the quotient is a whole number, then 2 and 16,700,570.5 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 | 33,401,141 | |
-1 | -33,401,141 |
Now, we try dividing 33,401,141 by 3:
33,401,141 ÷ 3 = 11,133,713.6667
If the quotient is a whole number, then 3 and 11,133,713.6667 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 | 33,401,141 | |
-1 | -33,401,141 |
Let's try dividing by 4:
33,401,141 ÷ 4 = 8,350,285.25
If the quotient is a whole number, then 4 and 8,350,285.25 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 | 33,401,141 | |
-1 | 33,401,141 |
If you did it right, you will end up with this table:
1 | 17 | 1,964,773 | 33,401,141 |
-1 | -17 | -1,964,773 | -33,401,141 |
Here are some more numbers to try:
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