Q: What are the factor combinations of the number 44,241,011?
A:
Positive:
1 x 4424101137 x 1195703
Negative:
-1 x -44241011-37 x -1195703
A:
Positive:
1 x 4424101137 x 1195703
Negative:
-1 x -44241011-37 x -1195703
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 44,241,011, 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 | 44,241,011 | |
-1 | -44,241,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,241,011.
Example:
1 x 44,241,011 = 44,241,011
and
-1 x -44,241,011 = 44,241,011
Notice both answers equal 44,241,011
With that explanation out of the way, let's continue. Next, we take the number 44,241,011 and divide it by 2:
44,241,011 ÷ 2 = 22,120,505.5
If the quotient is a whole number, then 2 and 22,120,505.5 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 | 44,241,011 | |
-1 | -44,241,011 |
Now, we try dividing 44,241,011 by 3:
44,241,011 ÷ 3 = 14,747,003.6667
If the quotient is a whole number, then 3 and 14,747,003.6667 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 | 44,241,011 | |
-1 | -44,241,011 |
Let's try dividing by 4:
44,241,011 ÷ 4 = 11,060,252.75
If the quotient is a whole number, then 4 and 11,060,252.75 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 | 44,241,011 | |
-1 | 44,241,011 |
If you did it right, you will end up with this table:
1 | 37 | 1,195,703 | 44,241,011 |
-1 | -37 | -1,195,703 | -44,241,011 |
Here are some more numbers to try:
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