Q: What are the factor combinations of the number 721,799?
A:
Positive:
1 x 72179913 x 55523169 x 4271
Negative:
-1 x -721799-13 x -55523-169 x -4271
A:
Positive:
1 x 72179913 x 55523169 x 4271
Negative:
-1 x -721799-13 x -55523-169 x -4271
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 721,799, 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 | 721,799 | |
-1 | -721,799 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 721,799.
Example:
1 x 721,799 = 721,799
and
-1 x -721,799 = 721,799
Notice both answers equal 721,799
With that explanation out of the way, let's continue. Next, we take the number 721,799 and divide it by 2:
721,799 ÷ 2 = 360,899.5
If the quotient is a whole number, then 2 and 360,899.5 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 | 721,799 | |
-1 | -721,799 |
Now, we try dividing 721,799 by 3:
721,799 ÷ 3 = 240,599.6667
If the quotient is a whole number, then 3 and 240,599.6667 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 | 721,799 | |
-1 | -721,799 |
Let's try dividing by 4:
721,799 ÷ 4 = 180,449.75
If the quotient is a whole number, then 4 and 180,449.75 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 | 721,799 | |
-1 | 721,799 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 4,271 | 55,523 | 721,799 |
-1 | -13 | -169 | -4,271 | -55,523 | -721,799 |
Here are some more numbers to try:
Try the factor calculator