Q: What are the factor combinations of the number 721,723,769?
A:
Positive:
1 x 72172376913 x 55517213
Negative:
-1 x -721723769-13 x -55517213
A:
Positive:
1 x 72172376913 x 55517213
Negative:
-1 x -721723769-13 x -55517213
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 721,723,769, 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 | 721,723,769 | |
-1 | -721,723,769 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 721,723,769.
Example:
1 x 721,723,769 = 721,723,769
and
-1 x -721,723,769 = 721,723,769
Notice both answers equal 721,723,769
With that explanation out of the way, let's continue. Next, we take the number 721,723,769 and divide it by 2:
721,723,769 ÷ 2 = 360,861,884.5
If the quotient is a whole number, then 2 and 360,861,884.5 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 | 721,723,769 | |
-1 | -721,723,769 |
Now, we try dividing 721,723,769 by 3:
721,723,769 ÷ 3 = 240,574,589.6667
If the quotient is a whole number, then 3 and 240,574,589.6667 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 | 721,723,769 | |
-1 | -721,723,769 |
Let's try dividing by 4:
721,723,769 ÷ 4 = 180,430,942.25
If the quotient is a whole number, then 4 and 180,430,942.25 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 | 721,723,769 | |
-1 | 721,723,769 |
If you did it right, you will end up with this table:
1 | 13 | 55,517,213 | 721,723,769 |
-1 | -13 | -55,517,213 | -721,723,769 |
Here are some more numbers to try:
Try the factor calculator